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Finding the Fourth Proportional to 687.46, 1,032.67 and 431.14

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Solution

The fourth proportional to 687.46, 1,032.67 and 431.14 is: 647.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.46 : 1,032.67 = 431.14 : x
  2. Step 2: Convert to fraction form
    687.46/1,032.67 = 431.14/x
  3. Step 3: Cross multiply
    687.46x = 1,032.67 × 431.14
  4. Step 4: Simplify right side
    687.46x = 445,225.34
  5. Step 5: Solve for x
    x = 445,225.34/687.46
  6. Step 6: Final answer
    x = 647.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.