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Finding the Fourth Proportional to 711.60, 1,066.40 and 387.24

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Solution

The fourth proportional to 711.60, 1,066.40 and 387.24 is: 580.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.60 : 1,066.40 = 387.24 : x
  2. Step 2: Convert to fraction form
    711.60/1,066.40 = 387.24/x
  3. Step 3: Cross multiply
    711.60x = 1,066.40 × 387.24
  4. Step 4: Simplify right side
    711.60x = 412,952.74
  5. Step 5: Solve for x
    x = 412,952.74/711.60
  6. Step 6: Final answer
    x = 580.32

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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.