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Finding the Fourth Proportional to 472.02, 654.45 and 456.83

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Solution

The fourth proportional to 472.02, 654.45 and 456.83 is: 633.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.02 : 654.45 = 456.83 : x
  2. Step 2: Convert to fraction form
    472.02/654.45 = 456.83/x
  3. Step 3: Cross multiply
    472.02x = 654.45 × 456.83
  4. Step 4: Simplify right side
    472.02x = 298,972.39
  5. Step 5: Solve for x
    x = 298,972.39/472.02
  6. Step 6: Final answer
    x = 633.39

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.