Home / 1,182.20-1,631.28-658.16

Finding the Fourth Proportional to 1,182.20, 1,631.28 and 658.16

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Solution

The fourth proportional to 1,182.20, 1,631.28 and 658.16 is: 908.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.20 : 1,631.28 = 658.16 : x
  2. Step 2: Convert to fraction form
    1,182.20/1,631.28 = 658.16/x
  3. Step 3: Cross multiply
    1,182.20x = 1,631.28 × 658.16
  4. Step 4: Simplify right side
    1,182.20x = 1,073,643.24
  5. Step 5: Solve for x
    x = 1,073,643.24/1,182.20
  6. Step 6: Final answer
    x = 908.17

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1.5x scale

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.