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Finding the Fourth Proportional to 1,034.57, 1,428.63 and 772.13

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Solution

The fourth proportional to 1,034.57, 1,428.63 and 772.13 is: 1,066.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.57 : 1,428.63 = 772.13 : x
  2. Step 2: Convert to fraction form
    1,034.57/1,428.63 = 772.13/x
  3. Step 3: Cross multiply
    1,034.57x = 1,428.63 × 772.13
  4. Step 4: Simplify right side
    1,034.57x = 1,103,088.08
  5. Step 5: Solve for x
    x = 1,103,088.08/1,034.57
  6. Step 6: Final answer
    x = 1,066.23

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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.