Home / 1,505.30-2,257.61-409.45

Finding the Fourth Proportional to 1,505.30, 2,257.61 and 409.45

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Solution

The fourth proportional to 1,505.30, 2,257.61 and 409.45 is: 614.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.30 : 2,257.61 = 409.45 : x
  2. Step 2: Convert to fraction form
    1,505.30/2,257.61 = 409.45/x
  3. Step 3: Cross multiply
    1,505.30x = 2,257.61 × 409.45
  4. Step 4: Simplify right side
    1,505.30x = 924,370.72
  5. Step 5: Solve for x
    x = 924,370.72/1,505.30
  6. Step 6: Final answer
    x = 614.08

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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.