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Finding the Fourth Proportional to 434.36, 647.38 and 431.12

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Solution

The fourth proportional to 434.36, 647.38 and 431.12 is: 642.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.36 : 647.38 = 431.12 : x
  2. Step 2: Convert to fraction form
    434.36/647.38 = 431.12/x
  3. Step 3: Cross multiply
    434.36x = 647.38 × 431.12
  4. Step 4: Simplify right side
    434.36x = 279,098.47
  5. Step 5: Solve for x
    x = 279,098.47/434.36
  6. Step 6: Final answer
    x = 642.55

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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.