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Finding the Fourth Proportional to 473.60, 710.43 and 447.64

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Solution

The fourth proportional to 473.60, 710.43 and 447.64 is: 671.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.60 : 710.43 = 447.64 : x
  2. Step 2: Convert to fraction form
    473.60/710.43 = 447.64/x
  3. Step 3: Cross multiply
    473.60x = 710.43 × 447.64
  4. Step 4: Simplify right side
    473.60x = 318,015.11
  5. Step 5: Solve for x
    x = 318,015.11/473.60
  6. Step 6: Final answer
    x = 671.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.