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Finding the Fourth Proportional to 1,025.22, 1,537.90 and 294.78

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Solution

The fourth proportional to 1,025.22, 1,537.90 and 294.78 is: 442.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.22 : 1,537.90 = 294.78 : x
  2. Step 2: Convert to fraction form
    1,025.22/1,537.90 = 294.78/x
  3. Step 3: Cross multiply
    1,025.22x = 1,537.90 × 294.78
  4. Step 4: Simplify right side
    1,025.22x = 453,342.16
  5. Step 5: Solve for x
    x = 453,342.16/1,025.22
  6. Step 6: Final answer
    x = 442.19

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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.