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Finding the Fourth Proportional to 880.16, 1,215.02 and 565.88

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Solution

The fourth proportional to 880.16, 1,215.02 and 565.88 is: 781.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.16 : 1,215.02 = 565.88 : x
  2. Step 2: Convert to fraction form
    880.16/1,215.02 = 565.88/x
  3. Step 3: Cross multiply
    880.16x = 1,215.02 × 565.88
  4. Step 4: Simplify right side
    880.16x = 687,550.86
  5. Step 5: Solve for x
    x = 687,550.86/880.16
  6. Step 6: Final answer
    x = 781.17

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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.