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Finding the Fourth Proportional to 693.19, 956.91 and 431.38

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Solution

The fourth proportional to 693.19, 956.91 and 431.38 is: 595.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.19 : 956.91 = 431.38 : x
  2. Step 2: Convert to fraction form
    693.19/956.91 = 431.38/x
  3. Step 3: Cross multiply
    693.19x = 956.91 × 431.38
  4. Step 4: Simplify right side
    693.19x = 412,791.84
  5. Step 5: Solve for x
    x = 412,791.84/693.19
  6. Step 6: Final answer
    x = 595.50

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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.