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Finding the Fourth Proportional to 474.78, 710.88 and 447.49

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Solution

The fourth proportional to 474.78, 710.88 and 447.49 is: 670.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.78 : 710.88 = 447.49 : x
  2. Step 2: Convert to fraction form
    474.78/710.88 = 447.49/x
  3. Step 3: Cross multiply
    474.78x = 710.88 × 447.49
  4. Step 4: Simplify right side
    474.78x = 318,111.69
  5. Step 5: Solve for x
    x = 318,111.69/474.78
  6. Step 6: Final answer
    x = 670.02

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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.