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Finding the Fourth Proportional to 1,506.75, 2,259.78 and 411.20

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Solution

The fourth proportional to 1,506.75, 2,259.78 and 411.20 is: 616.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.75 : 2,259.78 = 411.20 : x
  2. Step 2: Convert to fraction form
    1,506.75/2,259.78 = 411.20/x
  3. Step 3: Cross multiply
    1,506.75x = 2,259.78 × 411.20
  4. Step 4: Simplify right side
    1,506.75x = 929,218.71
  5. Step 5: Solve for x
    x = 929,218.71/1,506.75
  6. Step 6: Final answer
    x = 616.71

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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.