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Finding the Fourth Proportional to 542.79, 810.98 and 537.93

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Solution

The fourth proportional to 542.79, 810.98 and 537.93 is: 803.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.79 : 810.98 = 537.93 : x
  2. Step 2: Convert to fraction form
    542.79/810.98 = 537.93/x
  3. Step 3: Cross multiply
    542.79x = 810.98 × 537.93
  4. Step 4: Simplify right side
    542.79x = 436,247.78
  5. Step 5: Solve for x
    x = 436,247.78/542.79
  6. Step 6: Final answer
    x = 803.71

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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.