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Finding the Fourth Proportional to 474.45, 714.51 and 423.54

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Solution

The fourth proportional to 474.45, 714.51 and 423.54 is: 637.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.45 : 714.51 = 423.54 : x
  2. Step 2: Convert to fraction form
    474.45/714.51 = 423.54/x
  3. Step 3: Cross multiply
    474.45x = 714.51 × 423.54
  4. Step 4: Simplify right side
    474.45x = 302,623.57
  5. Step 5: Solve for x
    x = 302,623.57/474.45
  6. Step 6: Final answer
    x = 637.84

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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.