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Finding the Fourth Proportional to 1,203.89, 1,659.07 and 830.19

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Solution

The fourth proportional to 1,203.89, 1,659.07 and 830.19 is: 1,144.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.89 : 1,659.07 = 830.19 : x
  2. Step 2: Convert to fraction form
    1,203.89/1,659.07 = 830.19/x
  3. Step 3: Cross multiply
    1,203.89x = 1,659.07 × 830.19
  4. Step 4: Simplify right side
    1,203.89x = 1,377,343.32
  5. Step 5: Solve for x
    x = 1,377,343.32/1,203.89
  6. Step 6: Final answer
    x = 1,144.08

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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.