Home / 1,384.55-2,077.10-410.66

Finding the Fourth Proportional to 1,384.55, 2,077.10 and 410.66

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Solution

The fourth proportional to 1,384.55, 2,077.10 and 410.66 is: 616.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.55 : 2,077.10 = 410.66 : x
  2. Step 2: Convert to fraction form
    1,384.55/2,077.10 = 410.66/x
  3. Step 3: Cross multiply
    1,384.55x = 2,077.10 × 410.66
  4. Step 4: Simplify right side
    1,384.55x = 852,979.83
  5. Step 5: Solve for x
    x = 852,979.83/1,384.55
  6. Step 6: Final answer
    x = 616.07

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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.