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Finding the Fourth Proportional to 1,711.99, 2,568.08 and 542.02

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Solution

The fourth proportional to 1,711.99, 2,568.08 and 542.02 is: 813.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.99 : 2,568.08 = 542.02 : x
  2. Step 2: Convert to fraction form
    1,711.99/2,568.08 = 542.02/x
  3. Step 3: Cross multiply
    1,711.99x = 2,568.08 × 542.02
  4. Step 4: Simplify right side
    1,711.99x = 1,391,950.72
  5. Step 5: Solve for x
    x = 1,391,950.72/1,711.99
  6. Step 6: Final answer
    x = 813.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.