Home / 1,506.48-2,259.38-410.87

Finding the Fourth Proportional to 1,506.48, 2,259.38 and 410.87

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Solution

The fourth proportional to 1,506.48, 2,259.38 and 410.87 is: 616.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.48 : 2,259.38 = 410.87 : x
  2. Step 2: Convert to fraction form
    1,506.48/2,259.38 = 410.87/x
  3. Step 3: Cross multiply
    1,506.48x = 2,259.38 × 410.87
  4. Step 4: Simplify right side
    1,506.48x = 928,298.11
  5. Step 5: Solve for x
    x = 928,298.11/1,506.48
  6. Step 6: Final answer
    x = 616.20

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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.