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Finding the Fourth Proportional to 472.40, 652.53 and 393.97

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Solution

The fourth proportional to 472.40, 652.53 and 393.97 is: 544.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.40 : 652.53 = 393.97 : x
  2. Step 2: Convert to fraction form
    472.40/652.53 = 393.97/x
  3. Step 3: Cross multiply
    472.40x = 652.53 × 393.97
  4. Step 4: Simplify right side
    472.40x = 257,079.54
  5. Step 5: Solve for x
    x = 257,079.54/472.40
  6. Step 6: Final answer
    x = 544.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.