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Finding the Fourth Proportional to 434.03, 645.98 and 432.68

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Solution

The fourth proportional to 434.03, 645.98 and 432.68 is: 643.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.03 : 645.98 = 432.68 : x
  2. Step 2: Convert to fraction form
    434.03/645.98 = 432.68/x
  3. Step 3: Cross multiply
    434.03x = 645.98 × 432.68
  4. Step 4: Simplify right side
    434.03x = 279,497.23
  5. Step 5: Solve for x
    x = 279,497.23/434.03
  6. Step 6: Final answer
    x = 643.97

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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.