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Finding the Fourth Proportional to 583.96, 801.23 and 528.28

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Solution

The fourth proportional to 583.96, 801.23 and 528.28 is: 724.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.96 : 801.23 = 528.28 : x
  2. Step 2: Convert to fraction form
    583.96/801.23 = 528.28/x
  3. Step 3: Cross multiply
    583.96x = 801.23 × 528.28
  4. Step 4: Simplify right side
    583.96x = 423,273.78
  5. Step 5: Solve for x
    x = 423,273.78/583.96
  6. Step 6: Final answer
    x = 724.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.