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Finding the Fourth Proportional to 483.76, 725.59 and 286.12

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Solution

The fourth proportional to 483.76, 725.59 and 286.12 is: 429.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.76 : 725.59 = 286.12 : x
  2. Step 2: Convert to fraction form
    483.76/725.59 = 286.12/x
  3. Step 3: Cross multiply
    483.76x = 725.59 × 286.12
  4. Step 4: Simplify right side
    483.76x = 207,602.75
  5. Step 5: Solve for x
    x = 207,602.75/483.76
  6. Step 6: Final answer
    x = 429.15

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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.