Home / 1,506.20-2,259.02-410.43

Finding the Fourth Proportional to 1,506.20, 2,259.02 and 410.43

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Solution

The fourth proportional to 1,506.20, 2,259.02 and 410.43 is: 615.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.20 : 2,259.02 = 410.43 : x
  2. Step 2: Convert to fraction form
    1,506.20/2,259.02 = 410.43/x
  3. Step 3: Cross multiply
    1,506.20x = 2,259.02 × 410.43
  4. Step 4: Simplify right side
    1,506.20x = 927,169.58
  5. Step 5: Solve for x
    x = 927,169.58/1,506.20
  6. Step 6: Final answer
    x = 615.57

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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.