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Finding the Fourth Proportional to 431.65, 645.17 and 353.76

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Solution

The fourth proportional to 431.65, 645.17 and 353.76 is: 528.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.65 : 645.17 = 353.76 : x
  2. Step 2: Convert to fraction form
    431.65/645.17 = 353.76/x
  3. Step 3: Cross multiply
    431.65x = 645.17 × 353.76
  4. Step 4: Simplify right side
    431.65x = 228,235.34
  5. Step 5: Solve for x
    x = 228,235.34/431.65
  6. Step 6: Final answer
    x = 528.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.