Home / 1,177.12-1,624.96-804.70

Finding the Fourth Proportional to 1,177.12, 1,624.96 and 804.70

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Solution

The fourth proportional to 1,177.12, 1,624.96 and 804.70 is: 1,110.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.12 : 1,624.96 = 804.70 : x
  2. Step 2: Convert to fraction form
    1,177.12/1,624.96 = 804.70/x
  3. Step 3: Cross multiply
    1,177.12x = 1,624.96 × 804.70
  4. Step 4: Simplify right side
    1,177.12x = 1,307,605.31
  5. Step 5: Solve for x
    x = 1,307,605.31/1,177.12
  6. Step 6: Final answer
    x = 1,110.85

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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.