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Finding the Fourth Proportional to 1,542.75, 2,315.13 and 568.86

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Solution

The fourth proportional to 1,542.75, 2,315.13 and 568.86 is: 853.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.75 : 2,315.13 = 568.86 : x
  2. Step 2: Convert to fraction form
    1,542.75/2,315.13 = 568.86/x
  3. Step 3: Cross multiply
    1,542.75x = 2,315.13 × 568.86
  4. Step 4: Simplify right side
    1,542.75x = 1,316,984.85
  5. Step 5: Solve for x
    x = 1,316,984.85/1,542.75
  6. Step 6: Final answer
    x = 853.66

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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.