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Finding the Fourth Proportional to 1,568.38, 2,353.65 and 542.38

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Solution

The fourth proportional to 1,568.38, 2,353.65 and 542.38 is: 813.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.38 : 2,353.65 = 542.38 : x
  2. Step 2: Convert to fraction form
    1,568.38/2,353.65 = 542.38/x
  3. Step 3: Cross multiply
    1,568.38x = 2,353.65 × 542.38
  4. Step 4: Simplify right side
    1,568.38x = 1,276,558.21
  5. Step 5: Solve for x
    x = 1,276,558.21/1,568.38
  6. Step 6: Final answer
    x = 813.94

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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.