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Finding the Fourth Proportional to 642.33, 886.35 and 432.75

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Solution

The fourth proportional to 642.33, 886.35 and 432.75 is: 597.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.33 : 886.35 = 432.75 : x
  2. Step 2: Convert to fraction form
    642.33/886.35 = 432.75/x
  3. Step 3: Cross multiply
    642.33x = 886.35 × 432.75
  4. Step 4: Simplify right side
    642.33x = 383,567.96
  5. Step 5: Solve for x
    x = 383,567.96/642.33
  6. Step 6: Final answer
    x = 597.15

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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.