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Finding the Fourth Proportional to 1,053.60, 1,454.52 and 681.13

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Solution

The fourth proportional to 1,053.60, 1,454.52 and 681.13 is: 940.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.60 : 1,454.52 = 681.13 : x
  2. Step 2: Convert to fraction form
    1,053.60/1,454.52 = 681.13/x
  3. Step 3: Cross multiply
    1,053.60x = 1,454.52 × 681.13
  4. Step 4: Simplify right side
    1,053.60x = 990,717.21
  5. Step 5: Solve for x
    x = 990,717.21/1,053.60
  6. Step 6: Final answer
    x = 940.32

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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.