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Finding the Fourth Proportional to 654.78, 982.71 and 461.19

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Solution

The fourth proportional to 654.78, 982.71 and 461.19 is: 692.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.78 : 982.71 = 461.19 : x
  2. Step 2: Convert to fraction form
    654.78/982.71 = 461.19/x
  3. Step 3: Cross multiply
    654.78x = 982.71 × 461.19
  4. Step 4: Simplify right side
    654.78x = 453,216.02
  5. Step 5: Solve for x
    x = 453,216.02/654.78
  6. Step 6: Final answer
    x = 692.17

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Double scale
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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.