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Finding the Fourth Proportional to 693.17, 956.35 and 457.24

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Solution

The fourth proportional to 693.17, 956.35 and 457.24 is: 630.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.17 : 956.35 = 457.24 : x
  2. Step 2: Convert to fraction form
    693.17/956.35 = 457.24/x
  3. Step 3: Cross multiply
    693.17x = 956.35 × 457.24
  4. Step 4: Simplify right side
    693.17x = 437,274.41
  5. Step 5: Solve for x
    x = 437,274.41/693.17
  6. Step 6: Final answer
    x = 630.83

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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.