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Finding the Fourth Proportional to 473.74, 653.80 and 287.24

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Solution

The fourth proportional to 473.74, 653.80 and 287.24 is: 396.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.74 : 653.80 = 287.24 : x
  2. Step 2: Convert to fraction form
    473.74/653.80 = 287.24/x
  3. Step 3: Cross multiply
    473.74x = 653.80 × 287.24
  4. Step 4: Simplify right side
    473.74x = 187,796.79
  5. Step 5: Solve for x
    x = 187,796.79/473.74
  6. Step 6: Final answer
    x = 396.41

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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.