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Finding the Fourth Proportional to 812.77, 1,120.74 and 532.91

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Solution

The fourth proportional to 812.77, 1,120.74 and 532.91 is: 734.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.77 : 1,120.74 = 532.91 : x
  2. Step 2: Convert to fraction form
    812.77/1,120.74 = 532.91/x
  3. Step 3: Cross multiply
    812.77x = 1,120.74 × 532.91
  4. Step 4: Simplify right side
    812.77x = 597,253.55
  5. Step 5: Solve for x
    x = 597,253.55/812.77
  6. Step 6: Final answer
    x = 734.84

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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.