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Finding the Fourth Proportional to 1,568.74, 2,352.63 and 542.50

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Solution

The fourth proportional to 1,568.74, 2,352.63 and 542.50 is: 813.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.74 : 2,352.63 = 542.50 : x
  2. Step 2: Convert to fraction form
    1,568.74/2,352.63 = 542.50/x
  3. Step 3: Cross multiply
    1,568.74x = 2,352.63 × 542.50
  4. Step 4: Simplify right side
    1,568.74x = 1,276,301.78
  5. Step 5: Solve for x
    x = 1,276,301.78/1,568.74
  6. Step 6: Final answer
    x = 813.58

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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.