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Finding the Fourth Proportional to 641.38, 881.26 and 510.16

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Solution

The fourth proportional to 641.38, 881.26 and 510.16 is: 700.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.38 : 881.26 = 510.16 : x
  2. Step 2: Convert to fraction form
    641.38/881.26 = 510.16/x
  3. Step 3: Cross multiply
    641.38x = 881.26 × 510.16
  4. Step 4: Simplify right side
    641.38x = 449,580.12
  5. Step 5: Solve for x
    x = 449,580.12/641.38
  6. Step 6: Final answer
    x = 700.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.