Home / 1,506.12-2,259.19-410.50

Finding the Fourth Proportional to 1,506.12, 2,259.19 and 410.50

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Solution

The fourth proportional to 1,506.12, 2,259.19 and 410.50 is: 615.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.12 : 2,259.19 = 410.50 : x
  2. Step 2: Convert to fraction form
    1,506.12/2,259.19 = 410.50/x
  3. Step 3: Cross multiply
    1,506.12x = 2,259.19 × 410.50
  4. Step 4: Simplify right side
    1,506.12x = 927,400.83
  5. Step 5: Solve for x
    x = 927,400.83/1,506.12
  6. Step 6: Final answer
    x = 615.76

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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.