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Finding the Fourth Proportional to 484.02, 725.80 and 175.65

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Solution

The fourth proportional to 484.02, 725.80 and 175.65 is: 263.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.02 : 725.80 = 175.65 : x
  2. Step 2: Convert to fraction form
    484.02/725.80 = 175.65/x
  3. Step 3: Cross multiply
    484.02x = 725.80 × 175.65
  4. Step 4: Simplify right side
    484.02x = 127,489.05
  5. Step 5: Solve for x
    x = 127,489.05/484.02
  6. Step 6: Final answer
    x = 263.40

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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.