Home / 1,191.06-1,644.57-929.70

Finding the Fourth Proportional to 1,191.06, 1,644.57 and 929.70

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Solution

The fourth proportional to 1,191.06, 1,644.57 and 929.70 is: 1,283.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.06 : 1,644.57 = 929.70 : x
  2. Step 2: Convert to fraction form
    1,191.06/1,644.57 = 929.70/x
  3. Step 3: Cross multiply
    1,191.06x = 1,644.57 × 929.70
  4. Step 4: Simplify right side
    1,191.06x = 1,528,956.73
  5. Step 5: Solve for x
    x = 1,528,956.73/1,191.06
  6. Step 6: Final answer
    x = 1,283.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.