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Finding the Fourth Proportional to 1,540.78, 2,312.16 and 566.80

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Solution

The fourth proportional to 1,540.78, 2,312.16 and 566.80 is: 850.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.78 : 2,312.16 = 566.80 : x
  2. Step 2: Convert to fraction form
    1,540.78/2,312.16 = 566.80/x
  3. Step 3: Cross multiply
    1,540.78x = 2,312.16 × 566.80
  4. Step 4: Simplify right side
    1,540.78x = 1,310,532.29
  5. Step 5: Solve for x
    x = 1,310,532.29/1,540.78
  6. Step 6: Final answer
    x = 850.56

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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.