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Finding the Fourth Proportional to 877.97, 1,317.96 and 513.02

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Solution

The fourth proportional to 877.97, 1,317.96 and 513.02 is: 770.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.97 : 1,317.96 = 513.02 : x
  2. Step 2: Convert to fraction form
    877.97/1,317.96 = 513.02/x
  3. Step 3: Cross multiply
    877.97x = 1,317.96 × 513.02
  4. Step 4: Simplify right side
    877.97x = 676,133.25
  5. Step 5: Solve for x
    x = 676,133.25/877.97
  6. Step 6: Final answer
    x = 770.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.