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Finding the Fourth Proportional to 1,210.12, 1,669.92 and 658.12

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Solution

The fourth proportional to 1,210.12, 1,669.92 and 658.12 is: 908.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.12 : 1,669.92 = 658.12 : x
  2. Step 2: Convert to fraction form
    1,210.12/1,669.92 = 658.12/x
  3. Step 3: Cross multiply
    1,210.12x = 1,669.92 × 658.12
  4. Step 4: Simplify right side
    1,210.12x = 1,099,007.75
  5. Step 5: Solve for x
    x = 1,099,007.75/1,210.12
  6. Step 6: Final answer
    x = 908.18

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Half scale
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Double scale
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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.