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Finding the Fourth Proportional to 983.47, 1,357.19 and 541.38

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Solution

The fourth proportional to 983.47, 1,357.19 and 541.38 is: 747.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.47 : 1,357.19 = 541.38 : x
  2. Step 2: Convert to fraction form
    983.47/1,357.19 = 541.38/x
  3. Step 3: Cross multiply
    983.47x = 1,357.19 × 541.38
  4. Step 4: Simplify right side
    983.47x = 734,752.80
  5. Step 5: Solve for x
    x = 734,752.80/983.47
  6. Step 6: Final answer
    x = 747.10

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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.