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Finding the Fourth Proportional to 473.54, 653.24 and 298.76

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Solution

The fourth proportional to 473.54, 653.24 and 298.76 is: 412.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.54 : 653.24 = 298.76 : x
  2. Step 2: Convert to fraction form
    473.54/653.24 = 298.76/x
  3. Step 3: Cross multiply
    473.54x = 653.24 × 298.76
  4. Step 4: Simplify right side
    473.54x = 195,161.98
  5. Step 5: Solve for x
    x = 195,161.98/473.54
  6. Step 6: Final answer
    x = 412.13

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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.