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Finding the Fourth Proportional to 1,712.80, 2,568.44 and 542.47

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Solution

The fourth proportional to 1,712.80, 2,568.44 and 542.47 is: 813.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.80 : 2,568.44 = 542.47 : x
  2. Step 2: Convert to fraction form
    1,712.80/2,568.44 = 542.47/x
  3. Step 3: Cross multiply
    1,712.80x = 2,568.44 × 542.47
  4. Step 4: Simplify right side
    1,712.80x = 1,393,298.93
  5. Step 5: Solve for x
    x = 1,393,298.93/1,712.80
  6. Step 6: Final answer
    x = 813.46

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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.