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Finding the Fourth Proportional to 693.55, 956.86 and 457.61

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Solution

The fourth proportional to 693.55, 956.86 and 457.61 is: 631.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.55 : 956.86 = 457.61 : x
  2. Step 2: Convert to fraction form
    693.55/956.86 = 457.61/x
  3. Step 3: Cross multiply
    693.55x = 956.86 × 457.61
  4. Step 4: Simplify right side
    693.55x = 437,869.85
  5. Step 5: Solve for x
    x = 437,869.85/693.55
  6. Step 6: Final answer
    x = 631.35

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1.5x scale

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.