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Finding the Fourth Proportional to 1,117.60, 1,541.73 and 763.43

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Solution

The fourth proportional to 1,117.60, 1,541.73 and 763.43 is: 1,053.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.60 : 1,541.73 = 763.43 : x
  2. Step 2: Convert to fraction form
    1,117.60/1,541.73 = 763.43/x
  3. Step 3: Cross multiply
    1,117.60x = 1,541.73 × 763.43
  4. Step 4: Simplify right side
    1,117.60x = 1,176,998.09
  5. Step 5: Solve for x
    x = 1,176,998.09/1,117.60
  6. Step 6: Final answer
    x = 1,053.15

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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.