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Finding the Fourth Proportional to 1,309.93, 1,966.74 and 869.92

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Solution

The fourth proportional to 1,309.93, 1,966.74 and 869.92 is: 1,306.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.93 : 1,966.74 = 869.92 : x
  2. Step 2: Convert to fraction form
    1,309.93/1,966.74 = 869.92/x
  3. Step 3: Cross multiply
    1,309.93x = 1,966.74 × 869.92
  4. Step 4: Simplify right side
    1,309.93x = 1,710,906.46
  5. Step 5: Solve for x
    x = 1,710,906.46/1,309.93
  6. Step 6: Final answer
    x = 1,306.11

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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.