Home / 1,177.10-1,763.37-913.76

Finding the Fourth Proportional to 1,177.10, 1,763.37 and 913.76

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Solution

The fourth proportional to 1,177.10, 1,763.37 and 913.76 is: 1,368.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.10 : 1,763.37 = 913.76 : x
  2. Step 2: Convert to fraction form
    1,177.10/1,763.37 = 913.76/x
  3. Step 3: Cross multiply
    1,177.10x = 1,763.37 × 913.76
  4. Step 4: Simplify right side
    1,177.10x = 1,611,296.97
  5. Step 5: Solve for x
    x = 1,611,296.97/1,177.10
  6. Step 6: Final answer
    x = 1,368.87

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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.