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Finding the Fourth Proportional to 880.19, 1,318.81 and 532.46

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Solution

The fourth proportional to 880.19, 1,318.81 and 532.46 is: 797.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.19 : 1,318.81 = 532.46 : x
  2. Step 2: Convert to fraction form
    880.19/1,318.81 = 532.46/x
  3. Step 3: Cross multiply
    880.19x = 1,318.81 × 532.46
  4. Step 4: Simplify right side
    880.19x = 702,215.54
  5. Step 5: Solve for x
    x = 702,215.54/880.19
  6. Step 6: Final answer
    x = 797.80

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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.