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Finding the Fourth Proportional to 641.75, 881.77 and 510.53

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Solution

The fourth proportional to 641.75, 881.77 and 510.53 is: 701.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.75 : 881.77 = 510.53 : x
  2. Step 2: Convert to fraction form
    641.75/881.77 = 510.53/x
  3. Step 3: Cross multiply
    641.75x = 881.77 × 510.53
  4. Step 4: Simplify right side
    641.75x = 450,170.97
  5. Step 5: Solve for x
    x = 450,170.97/641.75
  6. Step 6: Final answer
    x = 701.47

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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.