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Finding the Fourth Proportional to 485.02, 725.70 and 279.68

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Solution

The fourth proportional to 485.02, 725.70 and 279.68 is: 418.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.02 : 725.70 = 279.68 : x
  2. Step 2: Convert to fraction form
    485.02/725.70 = 279.68/x
  3. Step 3: Cross multiply
    485.02x = 725.70 × 279.68
  4. Step 4: Simplify right side
    485.02x = 202,963.78
  5. Step 5: Solve for x
    x = 202,963.78/485.02
  6. Step 6: Final answer
    x = 418.47

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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.