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Finding the Fourth Proportional to 887.71, 1,225.31 and 514.78

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Solution

The fourth proportional to 887.71, 1,225.31 and 514.78 is: 710.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.71 : 1,225.31 = 514.78 : x
  2. Step 2: Convert to fraction form
    887.71/1,225.31 = 514.78/x
  3. Step 3: Cross multiply
    887.71x = 1,225.31 × 514.78
  4. Step 4: Simplify right side
    887.71x = 630,765.08
  5. Step 5: Solve for x
    x = 630,765.08/887.71
  6. Step 6: Final answer
    x = 710.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.