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Finding the Fourth Proportional to 901.08, 1,243.52 and 497.28

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Solution

The fourth proportional to 901.08, 1,243.52 and 497.28 is: 686.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.08 : 1,243.52 = 497.28 : x
  2. Step 2: Convert to fraction form
    901.08/1,243.52 = 497.28/x
  3. Step 3: Cross multiply
    901.08x = 1,243.52 × 497.28
  4. Step 4: Simplify right side
    901.08x = 618,375.14
  5. Step 5: Solve for x
    x = 618,375.14/901.08
  6. Step 6: Final answer
    x = 686.26

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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.