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Finding the Fourth Proportional to 473.72, 653.88 and 299.12

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Solution

The fourth proportional to 473.72, 653.88 and 299.12 is: 412.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.72 : 653.88 = 299.12 : x
  2. Step 2: Convert to fraction form
    473.72/653.88 = 299.12/x
  3. Step 3: Cross multiply
    473.72x = 653.88 × 299.12
  4. Step 4: Simplify right side
    473.72x = 195,588.59
  5. Step 5: Solve for x
    x = 195,588.59/473.72
  6. Step 6: Final answer
    x = 412.88

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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.