Home / 1,506.43-2,259.81-410.92

Finding the Fourth Proportional to 1,506.43, 2,259.81 and 410.92

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Solution

The fourth proportional to 1,506.43, 2,259.81 and 410.92 is: 616.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.43 : 2,259.81 = 410.92 : x
  2. Step 2: Convert to fraction form
    1,506.43/2,259.81 = 410.92/x
  3. Step 3: Cross multiply
    1,506.43x = 2,259.81 × 410.92
  4. Step 4: Simplify right side
    1,506.43x = 928,601.13
  5. Step 5: Solve for x
    x = 928,601.13/1,506.43
  6. Step 6: Final answer
    x = 616.43

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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.