Home / 1,123.24-1,550.14-657.56

Finding the Fourth Proportional to 1,123.24, 1,550.14 and 657.56

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Solution

The fourth proportional to 1,123.24, 1,550.14 and 657.56 is: 907.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.24 : 1,550.14 = 657.56 : x
  2. Step 2: Convert to fraction form
    1,123.24/1,550.14 = 657.56/x
  3. Step 3: Cross multiply
    1,123.24x = 1,550.14 × 657.56
  4. Step 4: Simplify right side
    1,123.24x = 1,019,310.06
  5. Step 5: Solve for x
    x = 1,019,310.06/1,123.24
  6. Step 6: Final answer
    x = 907.47

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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.