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Finding the Fourth Proportional to 643.07, 886.61 and 432.95

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Solution

The fourth proportional to 643.07, 886.61 and 432.95 is: 596.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.07 : 886.61 = 432.95 : x
  2. Step 2: Convert to fraction form
    643.07/886.61 = 432.95/x
  3. Step 3: Cross multiply
    643.07x = 886.61 × 432.95
  4. Step 4: Simplify right side
    643.07x = 383,854.45
  5. Step 5: Solve for x
    x = 383,854.45/643.07
  6. Step 6: Final answer
    x = 596.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.