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Finding the Fourth Proportional to 798.19, 1,100.42 and 532.64

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Solution

The fourth proportional to 798.19, 1,100.42 and 532.64 is: 734.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.19 : 1,100.42 = 532.64 : x
  2. Step 2: Convert to fraction form
    798.19/1,100.42 = 532.64/x
  3. Step 3: Cross multiply
    798.19x = 1,100.42 × 532.64
  4. Step 4: Simplify right side
    798.19x = 586,129.79
  5. Step 5: Solve for x
    x = 586,129.79/798.19
  6. Step 6: Final answer
    x = 734.33

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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.