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Finding the Fourth Proportional to 768.87, 1,061.15 and 474.31

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Solution

The fourth proportional to 768.87, 1,061.15 and 474.31 is: 654.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.87 : 1,061.15 = 474.31 : x
  2. Step 2: Convert to fraction form
    768.87/1,061.15 = 474.31/x
  3. Step 3: Cross multiply
    768.87x = 1,061.15 × 474.31
  4. Step 4: Simplify right side
    768.87x = 503,309.71
  5. Step 5: Solve for x
    x = 503,309.71/768.87
  6. Step 6: Final answer
    x = 654.61

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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.