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Finding the Fourth Proportional to 877.58, 1,310.14 and 780.38

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Solution

The fourth proportional to 877.58, 1,310.14 and 780.38 is: 1,165.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.58 : 1,310.14 = 780.38 : x
  2. Step 2: Convert to fraction form
    877.58/1,310.14 = 780.38/x
  3. Step 3: Cross multiply
    877.58x = 1,310.14 × 780.38
  4. Step 4: Simplify right side
    877.58x = 1,022,398.55
  5. Step 5: Solve for x
    x = 1,022,398.55/877.58
  6. Step 6: Final answer
    x = 1,165.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.