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Finding the Fourth Proportional to 693.17, 956.83 and 431.13

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Solution

The fourth proportional to 693.17, 956.83 and 431.13 is: 595.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.17 : 956.83 = 431.13 : x
  2. Step 2: Convert to fraction form
    693.17/956.83 = 431.13/x
  3. Step 3: Cross multiply
    693.17x = 956.83 × 431.13
  4. Step 4: Simplify right side
    693.17x = 412,522.24
  5. Step 5: Solve for x
    x = 412,522.24/693.17
  6. Step 6: Final answer
    x = 595.13

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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.