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Finding the Fourth Proportional to 693.20, 956.61 and 398.45

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Solution

The fourth proportional to 693.20, 956.61 and 398.45 is: 549.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.20 : 956.61 = 398.45 : x
  2. Step 2: Convert to fraction form
    693.20/956.61 = 398.45/x
  3. Step 3: Cross multiply
    693.20x = 956.61 × 398.45
  4. Step 4: Simplify right side
    693.20x = 381,156.47
  5. Step 5: Solve for x
    x = 381,156.47/693.20
  6. Step 6: Final answer
    x = 549.85

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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.