Home / 1,507.56-2,261.34-411.90

Finding the Fourth Proportional to 1,507.56, 2,261.34 and 411.90

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Solution

The fourth proportional to 1,507.56, 2,261.34 and 411.90 is: 617.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.56 : 2,261.34 = 411.90 : x
  2. Step 2: Convert to fraction form
    1,507.56/2,261.34 = 411.90/x
  3. Step 3: Cross multiply
    1,507.56x = 2,261.34 × 411.90
  4. Step 4: Simplify right side
    1,507.56x = 931,445.95
  5. Step 5: Solve for x
    x = 931,445.95/1,507.56
  6. Step 6: Final answer
    x = 617.85

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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.