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Finding the Fourth Proportional to 880.92, 1,215.63 and 521.91

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Solution

The fourth proportional to 880.92, 1,215.63 and 521.91 is: 720.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.92 : 1,215.63 = 521.91 : x
  2. Step 2: Convert to fraction form
    880.92/1,215.63 = 521.91/x
  3. Step 3: Cross multiply
    880.92x = 1,215.63 × 521.91
  4. Step 4: Simplify right side
    880.92x = 634,449.45
  5. Step 5: Solve for x
    x = 634,449.45/880.92
  6. Step 6: Final answer
    x = 720.21

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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.