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Finding the Fourth Proportional to 812.16, 1,120.80 and 532.08

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Solution

The fourth proportional to 812.16, 1,120.80 and 532.08 is: 734.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.16 : 1,120.80 = 532.08 : x
  2. Step 2: Convert to fraction form
    812.16/1,120.80 = 532.08/x
  3. Step 3: Cross multiply
    812.16x = 1,120.80 × 532.08
  4. Step 4: Simplify right side
    812.16x = 596,355.26
  5. Step 5: Solve for x
    x = 596,355.26/812.16
  6. Step 6: Final answer
    x = 734.28

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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.