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Finding the Fourth Proportional to 1,507.43, 2,261.03 and 411.90

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Solution

The fourth proportional to 1,507.43, 2,261.03 and 411.90 is: 617.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.43 : 2,261.03 = 411.90 : x
  2. Step 2: Convert to fraction form
    1,507.43/2,261.03 = 411.90/x
  3. Step 3: Cross multiply
    1,507.43x = 2,261.03 × 411.90
  4. Step 4: Simplify right side
    1,507.43x = 931,316.20
  5. Step 5: Solve for x
    x = 931,316.20/1,507.43
  6. Step 6: Final answer
    x = 617.82

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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.