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Finding the Fourth Proportional to 921.66, 1,381.20 and 715.28

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Solution

The fourth proportional to 921.66, 1,381.20 and 715.28 is: 1,071.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.66 : 1,381.20 = 715.28 : x
  2. Step 2: Convert to fraction form
    921.66/1,381.20 = 715.28/x
  3. Step 3: Cross multiply
    921.66x = 1,381.20 × 715.28
  4. Step 4: Simplify right side
    921.66x = 987,937.83
  5. Step 5: Solve for x
    x = 987,937.83/921.66
  6. Step 6: Final answer
    x = 1,071.91

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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.