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Finding the Fourth Proportional to 473.78, 653.82 and 296.84

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Solution

The fourth proportional to 473.78, 653.82 and 296.84 is: 409.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.78 : 653.82 = 296.84 : x
  2. Step 2: Convert to fraction form
    473.78/653.82 = 296.84/x
  3. Step 3: Cross multiply
    473.78x = 653.82 × 296.84
  4. Step 4: Simplify right side
    473.78x = 194,079.93
  5. Step 5: Solve for x
    x = 194,079.93/473.78
  6. Step 6: Final answer
    x = 409.64

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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.