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Finding the Fourth Proportional to 726.56, 1,003.12 and 594.10

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Solution

The fourth proportional to 726.56, 1,003.12 and 594.10 is: 820.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.56 : 1,003.12 = 594.10 : x
  2. Step 2: Convert to fraction form
    726.56/1,003.12 = 594.10/x
  3. Step 3: Cross multiply
    726.56x = 1,003.12 × 594.10
  4. Step 4: Simplify right side
    726.56x = 595,949.60
  5. Step 5: Solve for x
    x = 595,949.60/726.56
  6. Step 6: Final answer
    x = 820.24

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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.