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Finding the Fourth Proportional to 839.82, 1,259.72 and 319.52

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Solution

The fourth proportional to 839.82, 1,259.72 and 319.52 is: 479.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.82 : 1,259.72 = 319.52 : x
  2. Step 2: Convert to fraction form
    839.82/1,259.72 = 319.52/x
  3. Step 3: Cross multiply
    839.82x = 1,259.72 × 319.52
  4. Step 4: Simplify right side
    839.82x = 402,505.73
  5. Step 5: Solve for x
    x = 402,505.73/839.82
  6. Step 6: Final answer
    x = 479.28

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.