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Finding the Fourth Proportional to 880.16, 1,319.92 and 495.52

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Solution

The fourth proportional to 880.16, 1,319.92 and 495.52 is: 743.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.16 : 1,319.92 = 495.52 : x
  2. Step 2: Convert to fraction form
    880.16/1,319.92 = 495.52/x
  3. Step 3: Cross multiply
    880.16x = 1,319.92 × 495.52
  4. Step 4: Simplify right side
    880.16x = 654,046.76
  5. Step 5: Solve for x
    x = 654,046.76/880.16
  6. Step 6: Final answer
    x = 743.10

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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.