Home / 1,177.96-1,622.80-977.56

Finding the Fourth Proportional to 1,177.96, 1,622.80 and 977.56

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Solution

The fourth proportional to 1,177.96, 1,622.80 and 977.56 is: 1,346.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.96 : 1,622.80 = 977.56 : x
  2. Step 2: Convert to fraction form
    1,177.96/1,622.80 = 977.56/x
  3. Step 3: Cross multiply
    1,177.96x = 1,622.80 × 977.56
  4. Step 4: Simplify right side
    1,177.96x = 1,586,384.37
  5. Step 5: Solve for x
    x = 1,586,384.37/1,177.96
  6. Step 6: Final answer
    x = 1,346.72

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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.