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Finding the Fourth Proportional to 711.50, 1,066.78 and 467.28

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Solution

The fourth proportional to 711.50, 1,066.78 and 467.28 is: 700.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.50 : 1,066.78 = 467.28 : x
  2. Step 2: Convert to fraction form
    711.50/1,066.78 = 467.28/x
  3. Step 3: Cross multiply
    711.50x = 1,066.78 × 467.28
  4. Step 4: Simplify right side
    711.50x = 498,484.96
  5. Step 5: Solve for x
    x = 498,484.96/711.50
  6. Step 6: Final answer
    x = 700.62

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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.