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Finding the Fourth Proportional to 474.32, 714.47 and 423.56

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Solution

The fourth proportional to 474.32, 714.47 and 423.56 is: 638.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.32 : 714.47 = 423.56 : x
  2. Step 2: Convert to fraction form
    474.32/714.47 = 423.56/x
  3. Step 3: Cross multiply
    474.32x = 714.47 × 423.56
  4. Step 4: Simplify right side
    474.32x = 302,620.91
  5. Step 5: Solve for x
    x = 302,620.91/474.32
  6. Step 6: Final answer
    x = 638.01

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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.