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Finding the Fourth Proportional to 434.72, 647.20 and 432.56

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Solution

The fourth proportional to 434.72, 647.20 and 432.56 is: 643.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.72 : 647.20 = 432.56 : x
  2. Step 2: Convert to fraction form
    434.72/647.20 = 432.56/x
  3. Step 3: Cross multiply
    434.72x = 647.20 × 432.56
  4. Step 4: Simplify right side
    434.72x = 279,952.83
  5. Step 5: Solve for x
    x = 279,952.83/434.72
  6. Step 6: Final answer
    x = 643.98

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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.