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Finding the Fourth Proportional to 693.89, 956.71 and 431.45

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Solution

The fourth proportional to 693.89, 956.71 and 431.45 is: 594.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.89 : 956.71 = 431.45 : x
  2. Step 2: Convert to fraction form
    693.89/956.71 = 431.45/x
  3. Step 3: Cross multiply
    693.89x = 956.71 × 431.45
  4. Step 4: Simplify right side
    693.89x = 412,772.53
  5. Step 5: Solve for x
    x = 412,772.53/693.89
  6. Step 6: Final answer
    x = 594.87

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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.