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Finding the Fourth Proportional to 1,462.84, 2,191.78 and 884.50

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Solution

The fourth proportional to 1,462.84, 2,191.78 and 884.50 is: 1,325.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.84 : 2,191.78 = 884.50 : x
  2. Step 2: Convert to fraction form
    1,462.84/2,191.78 = 884.50/x
  3. Step 3: Cross multiply
    1,462.84x = 2,191.78 × 884.50
  4. Step 4: Simplify right side
    1,462.84x = 1,938,629.41
  5. Step 5: Solve for x
    x = 1,938,629.41/1,462.84
  6. Step 6: Final answer
    x = 1,325.25

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Half scale
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Double scale
Find fourth proportional to 1,463.84, 2,193.28 and 885.50
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.