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Finding the Fourth Proportional to 474.64, 714.77 and 414.48

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Solution

The fourth proportional to 474.64, 714.77 and 414.48 is: 624.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.64 : 714.77 = 414.48 : x
  2. Step 2: Convert to fraction form
    474.64/714.77 = 414.48/x
  3. Step 3: Cross multiply
    474.64x = 714.77 × 414.48
  4. Step 4: Simplify right side
    474.64x = 296,257.87
  5. Step 5: Solve for x
    x = 296,257.87/474.64
  6. Step 6: Final answer
    x = 624.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.