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Finding the Fourth Proportional to 542.28, 807.63 and 539.19

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Solution

The fourth proportional to 542.28, 807.63 and 539.19 is: 803.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.28 : 807.63 = 539.19 : x
  2. Step 2: Convert to fraction form
    542.28/807.63 = 539.19/x
  3. Step 3: Cross multiply
    542.28x = 807.63 × 539.19
  4. Step 4: Simplify right side
    542.28x = 435,466.02
  5. Step 5: Solve for x
    x = 435,466.02/542.28
  6. Step 6: Final answer
    x = 803.03

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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.