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Finding the Fourth Proportional to 880.64, 1,319.18 and 418.86

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Solution

The fourth proportional to 880.64, 1,319.18 and 418.86 is: 627.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.64 : 1,319.18 = 418.86 : x
  2. Step 2: Convert to fraction form
    880.64/1,319.18 = 418.86/x
  3. Step 3: Cross multiply
    880.64x = 1,319.18 × 418.86
  4. Step 4: Simplify right side
    880.64x = 552,543.04
  5. Step 5: Solve for x
    x = 552,543.04/880.64
  6. Step 6: Final answer
    x = 627.43

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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.