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Finding the Fourth Proportional to 838.60, 1,253.27 and 772.93

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Solution

The fourth proportional to 838.60, 1,253.27 and 772.93 is: 1,155.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.60 : 1,253.27 = 772.93 : x
  2. Step 2: Convert to fraction form
    838.60/1,253.27 = 772.93/x
  3. Step 3: Cross multiply
    838.60x = 1,253.27 × 772.93
  4. Step 4: Simplify right side
    838.60x = 968,689.98
  5. Step 5: Solve for x
    x = 968,689.98/838.60
  6. Step 6: Final answer
    x = 1,155.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.