Home / 1,520.08-2,280.21-409.66

Finding the Fourth Proportional to 1,520.08, 2,280.21 and 409.66

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Solution

The fourth proportional to 1,520.08, 2,280.21 and 409.66 is: 614.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.08 : 2,280.21 = 409.66 : x
  2. Step 2: Convert to fraction form
    1,520.08/2,280.21 = 409.66/x
  3. Step 3: Cross multiply
    1,520.08x = 2,280.21 × 409.66
  4. Step 4: Simplify right side
    1,520.08x = 934,110.83
  5. Step 5: Solve for x
    x = 934,110.83/1,520.08
  6. Step 6: Final answer
    x = 614.51

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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.