Home / 1,292.20-1,937.80-414.46

Finding the Fourth Proportional to 1,292.20, 1,937.80 and 414.46

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Solution

The fourth proportional to 1,292.20, 1,937.80 and 414.46 is: 621.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.20 : 1,937.80 = 414.46 : x
  2. Step 2: Convert to fraction form
    1,292.20/1,937.80 = 414.46/x
  3. Step 3: Cross multiply
    1,292.20x = 1,937.80 × 414.46
  4. Step 4: Simplify right side
    1,292.20x = 803,138.52
  5. Step 5: Solve for x
    x = 803,138.52/1,292.20
  6. Step 6: Final answer
    x = 621.53

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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.