Home / 1,182.28-1,631.52-658.36

Finding the Fourth Proportional to 1,182.28, 1,631.52 and 658.36

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Solution

The fourth proportional to 1,182.28, 1,631.52 and 658.36 is: 908.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.28 : 1,631.52 = 658.36 : x
  2. Step 2: Convert to fraction form
    1,182.28/1,631.52 = 658.36/x
  3. Step 3: Cross multiply
    1,182.28x = 1,631.52 × 658.36
  4. Step 4: Simplify right side
    1,182.28x = 1,074,127.51
  5. Step 5: Solve for x
    x = 1,074,127.51/1,182.28
  6. Step 6: Final answer
    x = 908.52

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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.