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Finding the Fourth Proportional to 826.47, 1,145.61 and 812.70

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Solution

The fourth proportional to 826.47, 1,145.61 and 812.70 is: 1,126.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.47 : 1,145.61 = 812.70 : x
  2. Step 2: Convert to fraction form
    826.47/1,145.61 = 812.70/x
  3. Step 3: Cross multiply
    826.47x = 1,145.61 × 812.70
  4. Step 4: Simplify right side
    826.47x = 931,037.25
  5. Step 5: Solve for x
    x = 931,037.25/826.47
  6. Step 6: Final answer
    x = 1,126.52

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.