Home / 1,712.73-2,569.28-542.78

Finding the Fourth Proportional to 1,712.73, 2,569.28 and 542.78

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Solution

The fourth proportional to 1,712.73, 2,569.28 and 542.78 is: 814.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.73 : 2,569.28 = 542.78 : x
  2. Step 2: Convert to fraction form
    1,712.73/2,569.28 = 542.78/x
  3. Step 3: Cross multiply
    1,712.73x = 2,569.28 × 542.78
  4. Step 4: Simplify right side
    1,712.73x = 1,394,565.38
  5. Step 5: Solve for x
    x = 1,394,565.38/1,712.73
  6. Step 6: Final answer
    x = 814.24

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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.