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Finding the Fourth Proportional to 473.65, 652.61 and 362.78

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Solution

The fourth proportional to 473.65, 652.61 and 362.78 is: 499.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.65 : 652.61 = 362.78 : x
  2. Step 2: Convert to fraction form
    473.65/652.61 = 362.78/x
  3. Step 3: Cross multiply
    473.65x = 652.61 × 362.78
  4. Step 4: Simplify right side
    473.65x = 236,751.91
  5. Step 5: Solve for x
    x = 236,751.91/473.65
  6. Step 6: Final answer
    x = 499.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.