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Finding the Fourth Proportional to 1,542.70, 2,313.78 and 568.81

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Solution

The fourth proportional to 1,542.70, 2,313.78 and 568.81 is: 853.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.70 : 2,313.78 = 568.81 : x
  2. Step 2: Convert to fraction form
    1,542.70/2,313.78 = 568.81/x
  3. Step 3: Cross multiply
    1,542.70x = 2,313.78 × 568.81
  4. Step 4: Simplify right side
    1,542.70x = 1,316,101.20
  5. Step 5: Solve for x
    x = 1,316,101.20/1,542.70
  6. Step 6: Final answer
    x = 853.12

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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.