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Finding the Fourth Proportional to 830.25, 1,244.70 and 483.71

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Solution

The fourth proportional to 830.25, 1,244.70 and 483.71 is: 725.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.25 : 1,244.70 = 483.71 : x
  2. Step 2: Convert to fraction form
    830.25/1,244.70 = 483.71/x
  3. Step 3: Cross multiply
    830.25x = 1,244.70 × 483.71
  4. Step 4: Simplify right side
    830.25x = 602,067.61
  5. Step 5: Solve for x
    x = 602,067.61/830.25
  6. Step 6: Final answer
    x = 725.16

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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.