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Finding the Fourth Proportional to 473.15, 652.93 and 325.78

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Solution

The fourth proportional to 473.15, 652.93 and 325.78 is: 449.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.15 : 652.93 = 325.78 : x
  2. Step 2: Convert to fraction form
    473.15/652.93 = 325.78/x
  3. Step 3: Cross multiply
    473.15x = 652.93 × 325.78
  4. Step 4: Simplify right side
    473.15x = 212,711.54
  5. Step 5: Solve for x
    x = 212,711.54/473.15
  6. Step 6: Final answer
    x = 449.56

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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.