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Finding the Fourth Proportional to 880.92, 1,319.54 and 534.06

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Solution

The fourth proportional to 880.92, 1,319.54 and 534.06 is: 799.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.92 : 1,319.54 = 534.06 : x
  2. Step 2: Convert to fraction form
    880.92/1,319.54 = 534.06/x
  3. Step 3: Cross multiply
    880.92x = 1,319.54 × 534.06
  4. Step 4: Simplify right side
    880.92x = 704,710.86
  5. Step 5: Solve for x
    x = 704,710.86/880.92
  6. Step 6: Final answer
    x = 799.97

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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.