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Finding the Fourth Proportional to 1,182.10, 1,631.22 and 658.12

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Solution

The fourth proportional to 1,182.10, 1,631.22 and 658.12 is: 908.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.10 : 1,631.22 = 658.12 : x
  2. Step 2: Convert to fraction form
    1,182.10/1,631.22 = 658.12/x
  3. Step 3: Cross multiply
    1,182.10x = 1,631.22 × 658.12
  4. Step 4: Simplify right side
    1,182.10x = 1,073,538.51
  5. Step 5: Solve for x
    x = 1,073,538.51/1,182.10
  6. Step 6: Final answer
    x = 908.16

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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.