Home / 1,300.20-1,950.10-422.59

Finding the Fourth Proportional to 1,300.20, 1,950.10 and 422.59

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Solution

The fourth proportional to 1,300.20, 1,950.10 and 422.59 is: 633.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.20 : 1,950.10 = 422.59 : x
  2. Step 2: Convert to fraction form
    1,300.20/1,950.10 = 422.59/x
  3. Step 3: Cross multiply
    1,300.20x = 1,950.10 × 422.59
  4. Step 4: Simplify right side
    1,300.20x = 824,092.76
  5. Step 5: Solve for x
    x = 824,092.76/1,300.20
  6. Step 6: Final answer
    x = 633.82

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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.