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Finding the Fourth Proportional to 880.46, 1,215.08 and 487.49

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Solution

The fourth proportional to 880.46, 1,215.08 and 487.49 is: 672.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.46 : 1,215.08 = 487.49 : x
  2. Step 2: Convert to fraction form
    880.46/1,215.08 = 487.49/x
  3. Step 3: Cross multiply
    880.46x = 1,215.08 × 487.49
  4. Step 4: Simplify right side
    880.46x = 592,333.27
  5. Step 5: Solve for x
    x = 592,333.27/880.46
  6. Step 6: Final answer
    x = 672.75

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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.