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Finding the Fourth Proportional to 876.40, 1,209.60 and 517.75

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Solution

The fourth proportional to 876.40, 1,209.60 and 517.75 is: 714.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.40 : 1,209.60 = 517.75 : x
  2. Step 2: Convert to fraction form
    876.40/1,209.60 = 517.75/x
  3. Step 3: Cross multiply
    876.40x = 1,209.60 × 517.75
  4. Step 4: Simplify right side
    876.40x = 626,270.40
  5. Step 5: Solve for x
    x = 626,270.40/876.40
  6. Step 6: Final answer
    x = 714.59

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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.