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Finding the Fourth Proportional to 474.56, 714.06 and 392.88

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Solution

The fourth proportional to 474.56, 714.06 and 392.88 is: 591.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.56 : 714.06 = 392.88 : x
  2. Step 2: Convert to fraction form
    474.56/714.06 = 392.88/x
  3. Step 3: Cross multiply
    474.56x = 714.06 × 392.88
  4. Step 4: Simplify right side
    474.56x = 280,539.89
  5. Step 5: Solve for x
    x = 280,539.89/474.56
  6. Step 6: Final answer
    x = 591.16

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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.