Home / 1,025.28-1,537.46-294.70

Finding the Fourth Proportional to 1,025.28, 1,537.46 and 294.70

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Solution

The fourth proportional to 1,025.28, 1,537.46 and 294.70 is: 441.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.28 : 1,537.46 = 294.70 : x
  2. Step 2: Convert to fraction form
    1,025.28/1,537.46 = 294.70/x
  3. Step 3: Cross multiply
    1,025.28x = 1,537.46 × 294.70
  4. Step 4: Simplify right side
    1,025.28x = 453,089.46
  5. Step 5: Solve for x
    x = 453,089.46/1,025.28
  6. Step 6: Final answer
    x = 441.92

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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.