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Finding the Fourth Proportional to 474.46, 714.51 and 414.31

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Solution

The fourth proportional to 474.46, 714.51 and 414.31 is: 623.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.46 : 714.51 = 414.31 : x
  2. Step 2: Convert to fraction form
    474.46/714.51 = 414.31/x
  3. Step 3: Cross multiply
    474.46x = 714.51 × 414.31
  4. Step 4: Simplify right side
    474.46x = 296,026.57
  5. Step 5: Solve for x
    x = 296,026.57/474.46
  6. Step 6: Final answer
    x = 623.92

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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.