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Finding the Fourth Proportional to 474.01, 653.70 and 400.48

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Solution

The fourth proportional to 474.01, 653.70 and 400.48 is: 552.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.01 : 653.70 = 400.48 : x
  2. Step 2: Convert to fraction form
    474.01/653.70 = 400.48/x
  3. Step 3: Cross multiply
    474.01x = 653.70 × 400.48
  4. Step 4: Simplify right side
    474.01x = 261,793.78
  5. Step 5: Solve for x
    x = 261,793.78/474.01
  6. Step 6: Final answer
    x = 552.30

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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.