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Finding the Fourth Proportional to 880.61, 1,321.28 and 418.71

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Solution

The fourth proportional to 880.61, 1,321.28 and 418.71 is: 628.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.61 : 1,321.28 = 418.71 : x
  2. Step 2: Convert to fraction form
    880.61/1,321.28 = 418.71/x
  3. Step 3: Cross multiply
    880.61x = 1,321.28 × 418.71
  4. Step 4: Simplify right side
    880.61x = 553,231.06
  5. Step 5: Solve for x
    x = 553,231.06/880.61
  6. Step 6: Final answer
    x = 628.24

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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.