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Finding the Fourth Proportional to 921.76, 1,382.16 and 714.40

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Solution

The fourth proportional to 921.76, 1,382.16 and 714.40 is: 1,071.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.76 : 1,382.16 = 714.40 : x
  2. Step 2: Convert to fraction form
    921.76/1,382.16 = 714.40/x
  3. Step 3: Cross multiply
    921.76x = 1,382.16 × 714.40
  4. Step 4: Simplify right side
    921.76x = 987,415.10
  5. Step 5: Solve for x
    x = 987,415.10/921.76
  6. Step 6: Final answer
    x = 1,071.23

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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.