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Finding the Fourth Proportional to 714.53, 989.88 and 697.52

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Solution

The fourth proportional to 714.53, 989.88 and 697.52 is: 966.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.53 : 989.88 = 697.52 : x
  2. Step 2: Convert to fraction form
    714.53/989.88 = 697.52/x
  3. Step 3: Cross multiply
    714.53x = 989.88 × 697.52
  4. Step 4: Simplify right side
    714.53x = 690,461.10
  5. Step 5: Solve for x
    x = 690,461.10/714.53
  6. Step 6: Final answer
    x = 966.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.