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Finding the Fourth Proportional to 1,066.49, 1,471.75 and 624.30

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Solution

The fourth proportional to 1,066.49, 1,471.75 and 624.30 is: 861.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.49 : 1,471.75 = 624.30 : x
  2. Step 2: Convert to fraction form
    1,066.49/1,471.75 = 624.30/x
  3. Step 3: Cross multiply
    1,066.49x = 1,471.75 × 624.30
  4. Step 4: Simplify right side
    1,066.49x = 918,813.53
  5. Step 5: Solve for x
    x = 918,813.53/1,066.49
  6. Step 6: Final answer
    x = 861.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.