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Finding the Fourth Proportional to 875.17, 1,310.77 and 678.60

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Solution

The fourth proportional to 875.17, 1,310.77 and 678.60 is: 1,016.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.17 : 1,310.77 = 678.60 : x
  2. Step 2: Convert to fraction form
    875.17/1,310.77 = 678.60/x
  3. Step 3: Cross multiply
    875.17x = 1,310.77 × 678.60
  4. Step 4: Simplify right side
    875.17x = 889,478.58
  5. Step 5: Solve for x
    x = 889,478.58/875.17
  6. Step 6: Final answer
    x = 1,016.35

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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.