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Finding the Fourth Proportional to 693.18, 956.62 and 431.18

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Solution

The fourth proportional to 693.18, 956.62 and 431.18 is: 595.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.18 : 956.62 = 431.18 : x
  2. Step 2: Convert to fraction form
    693.18/956.62 = 431.18/x
  3. Step 3: Cross multiply
    693.18x = 956.62 × 431.18
  4. Step 4: Simplify right side
    693.18x = 412,475.41
  5. Step 5: Solve for x
    x = 412,475.41/693.18
  6. Step 6: Final answer
    x = 595.05

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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.