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Finding the Fourth Proportional to 531.69, 793.95 and 434.38

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Solution

The fourth proportional to 531.69, 793.95 and 434.38 is: 648.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.69 : 793.95 = 434.38 : x
  2. Step 2: Convert to fraction form
    531.69/793.95 = 434.38/x
  3. Step 3: Cross multiply
    531.69x = 793.95 × 434.38
  4. Step 4: Simplify right side
    531.69x = 344,874.49
  5. Step 5: Solve for x
    x = 344,874.49/531.69
  6. Step 6: Final answer
    x = 648.64

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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.