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Finding the Fourth Proportional to 542.56, 809.48 and 484.08

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Solution

The fourth proportional to 542.56, 809.48 and 484.08 is: 722.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.56 : 809.48 = 484.08 : x
  2. Step 2: Convert to fraction form
    542.56/809.48 = 484.08/x
  3. Step 3: Cross multiply
    542.56x = 809.48 × 484.08
  4. Step 4: Simplify right side
    542.56x = 391,853.08
  5. Step 5: Solve for x
    x = 391,853.08/542.56
  6. Step 6: Final answer
    x = 722.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.