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Finding the Fourth Proportional to 1,300.14, 1,950.20 and 434.52

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Solution

The fourth proportional to 1,300.14, 1,950.20 and 434.52 is: 651.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.14 : 1,950.20 = 434.52 : x
  2. Step 2: Convert to fraction form
    1,300.14/1,950.20 = 434.52/x
  3. Step 3: Cross multiply
    1,300.14x = 1,950.20 × 434.52
  4. Step 4: Simplify right side
    1,300.14x = 847,400.90
  5. Step 5: Solve for x
    x = 847,400.90/1,300.14
  6. Step 6: Final answer
    x = 651.78

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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.