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Finding the Fourth Proportional to 473.90, 653.99 and 287.35

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Solution

The fourth proportional to 473.90, 653.99 and 287.35 is: 396.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.90 : 653.99 = 287.35 : x
  2. Step 2: Convert to fraction form
    473.90/653.99 = 287.35/x
  3. Step 3: Cross multiply
    473.90x = 653.99 × 287.35
  4. Step 4: Simplify right side
    473.90x = 187,924.03
  5. Step 5: Solve for x
    x = 187,924.03/473.90
  6. Step 6: Final answer
    x = 396.55

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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.