Home / 1,055.30-1,583.20-747.76

Finding the Fourth Proportional to 1,055.30, 1,583.20 and 747.76

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Solution

The fourth proportional to 1,055.30, 1,583.20 and 747.76 is: 1,121.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.30 : 1,583.20 = 747.76 : x
  2. Step 2: Convert to fraction form
    1,055.30/1,583.20 = 747.76/x
  3. Step 3: Cross multiply
    1,055.30x = 1,583.20 × 747.76
  4. Step 4: Simplify right side
    1,055.30x = 1,183,853.63
  5. Step 5: Solve for x
    x = 1,183,853.63/1,055.30
  6. Step 6: Final answer
    x = 1,121.82

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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.