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Finding the Fourth Proportional to 749.25, 1,123.83 and 286.99

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Solution

The fourth proportional to 749.25, 1,123.83 and 286.99 is: 430.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.25 : 1,123.83 = 286.99 : x
  2. Step 2: Convert to fraction form
    749.25/1,123.83 = 286.99/x
  3. Step 3: Cross multiply
    749.25x = 1,123.83 × 286.99
  4. Step 4: Simplify right side
    749.25x = 322,530.45
  5. Step 5: Solve for x
    x = 322,530.45/749.25
  6. Step 6: Final answer
    x = 430.47

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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.