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Finding the Fourth Proportional to 434.70, 647.24 and 432.30

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Solution

The fourth proportional to 434.70, 647.24 and 432.30 is: 643.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.70 : 647.24 = 432.30 : x
  2. Step 2: Convert to fraction form
    434.70/647.24 = 432.30/x
  3. Step 3: Cross multiply
    434.70x = 647.24 × 432.30
  4. Step 4: Simplify right side
    434.70x = 279,799.69
  5. Step 5: Solve for x
    x = 279,799.69/434.70
  6. Step 6: Final answer
    x = 643.66

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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.