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Finding the Fourth Proportional to 1,712.58, 2,568.66 and 542.55

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Solution

The fourth proportional to 1,712.58, 2,568.66 and 542.55 is: 813.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.58 : 2,568.66 = 542.55 : x
  2. Step 2: Convert to fraction form
    1,712.58/2,568.66 = 542.55/x
  3. Step 3: Cross multiply
    1,712.58x = 2,568.66 × 542.55
  4. Step 4: Simplify right side
    1,712.58x = 1,393,626.48
  5. Step 5: Solve for x
    x = 1,393,626.48/1,712.58
  6. Step 6: Final answer
    x = 813.76

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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.