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Finding the Fourth Proportional to 812.56, 1,120.59 and 532.69

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Solution

The fourth proportional to 812.56, 1,120.59 and 532.69 is: 734.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.56 : 1,120.59 = 532.69 : x
  2. Step 2: Convert to fraction form
    812.56/1,120.59 = 532.69/x
  3. Step 3: Cross multiply
    812.56x = 1,120.59 × 532.69
  4. Step 4: Simplify right side
    812.56x = 596,925.69
  5. Step 5: Solve for x
    x = 596,925.69/812.56
  6. Step 6: Final answer
    x = 734.63

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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.