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Finding the Fourth Proportional to 1,300.79, 1,954.20 and 1,230.86

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Solution

The fourth proportional to 1,300.79, 1,954.20 and 1,230.86 is: 1,849.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.79 : 1,954.20 = 1,230.86 : x
  2. Step 2: Convert to fraction form
    1,300.79/1,954.20 = 1,230.86/x
  3. Step 3: Cross multiply
    1,300.79x = 1,954.20 × 1,230.86
  4. Step 4: Simplify right side
    1,300.79x = 2,405,346.61
  5. Step 5: Solve for x
    x = 2,405,346.61/1,300.79
  6. Step 6: Final answer
    x = 1,849.14

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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.