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Finding the Fourth Proportional to 714.52, 981.29 and 597.88

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Solution

The fourth proportional to 714.52, 981.29 and 597.88 is: 821.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.52 : 981.29 = 597.88 : x
  2. Step 2: Convert to fraction form
    714.52/981.29 = 597.88/x
  3. Step 3: Cross multiply
    714.52x = 981.29 × 597.88
  4. Step 4: Simplify right side
    714.52x = 586,693.67
  5. Step 5: Solve for x
    x = 586,693.67/714.52
  6. Step 6: Final answer
    x = 821.10

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.