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Finding the Fourth Proportional to 473.05, 652.54 and 298.09

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Solution

The fourth proportional to 473.05, 652.54 and 298.09 is: 411.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.05 : 652.54 = 298.09 : x
  2. Step 2: Convert to fraction form
    473.05/652.54 = 298.09/x
  3. Step 3: Cross multiply
    473.05x = 652.54 × 298.09
  4. Step 4: Simplify right side
    473.05x = 194,515.65
  5. Step 5: Solve for x
    x = 194,515.65/473.05
  6. Step 6: Final answer
    x = 411.19

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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.