Home / 1,025.18-1,537.80-294.78

Finding the Fourth Proportional to 1,025.18, 1,537.80 and 294.78

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Solution

The fourth proportional to 1,025.18, 1,537.80 and 294.78 is: 442.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.18 : 1,537.80 = 294.78 : x
  2. Step 2: Convert to fraction form
    1,025.18/1,537.80 = 294.78/x
  3. Step 3: Cross multiply
    1,025.18x = 1,537.80 × 294.78
  4. Step 4: Simplify right side
    1,025.18x = 453,312.68
  5. Step 5: Solve for x
    x = 453,312.68/1,025.18
  6. Step 6: Final answer
    x = 442.18

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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.