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Finding the Fourth Proportional to 1,711.86, 2,568.59 and 542.04

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Solution

The fourth proportional to 1,711.86, 2,568.59 and 542.04 is: 813.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.86 : 2,568.59 = 542.04 : x
  2. Step 2: Convert to fraction form
    1,711.86/2,568.59 = 542.04/x
  3. Step 3: Cross multiply
    1,711.86x = 2,568.59 × 542.04
  4. Step 4: Simplify right side
    1,711.86x = 1,392,281.14
  5. Step 5: Solve for x
    x = 1,392,281.14/1,711.86
  6. Step 6: Final answer
    x = 813.32

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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.