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Finding the Fourth Proportional to 876.52, 1,317.20 and 465.88

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Solution

The fourth proportional to 876.52, 1,317.20 and 465.88 is: 700.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.52 : 1,317.20 = 465.88 : x
  2. Step 2: Convert to fraction form
    876.52/1,317.20 = 465.88/x
  3. Step 3: Cross multiply
    876.52x = 1,317.20 × 465.88
  4. Step 4: Simplify right side
    876.52x = 613,657.14
  5. Step 5: Solve for x
    x = 613,657.14/876.52
  6. Step 6: Final answer
    x = 700.11

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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.