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Finding the Fourth Proportional to 642.16, 887.32 and 512.24

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Solution

The fourth proportional to 642.16, 887.32 and 512.24 is: 707.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.16 : 887.32 = 512.24 : x
  2. Step 2: Convert to fraction form
    642.16/887.32 = 512.24/x
  3. Step 3: Cross multiply
    642.16x = 887.32 × 512.24
  4. Step 4: Simplify right side
    642.16x = 454,520.80
  5. Step 5: Solve for x
    x = 454,520.80/642.16
  6. Step 6: Final answer
    x = 707.80

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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.