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Finding the Fourth Proportional to 1,300.15, 1,950.02 and 422.69

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Solution

The fourth proportional to 1,300.15, 1,950.02 and 422.69 is: 633.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.15 : 1,950.02 = 422.69 : x
  2. Step 2: Convert to fraction form
    1,300.15/1,950.02 = 422.69/x
  3. Step 3: Cross multiply
    1,300.15x = 1,950.02 × 422.69
  4. Step 4: Simplify right side
    1,300.15x = 824,246.05
  5. Step 5: Solve for x
    x = 824,246.05/1,300.15
  6. Step 6: Final answer
    x = 633.96

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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.