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Finding the Fourth Proportional to 1,358.93, 2,038.31 and 481.47

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Solution

The fourth proportional to 1,358.93, 2,038.31 and 481.47 is: 722.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.93 : 2,038.31 = 481.47 : x
  2. Step 2: Convert to fraction form
    1,358.93/2,038.31 = 481.47/x
  3. Step 3: Cross multiply
    1,358.93x = 2,038.31 × 481.47
  4. Step 4: Simplify right side
    1,358.93x = 981,382.71
  5. Step 5: Solve for x
    x = 981,382.71/1,358.93
  6. Step 6: Final answer
    x = 722.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.