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Finding the Fourth Proportional to 474.07, 648.59 and 472.02

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Solution

The fourth proportional to 474.07, 648.59 and 472.02 is: 645.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.07 : 648.59 = 472.02 : x
  2. Step 2: Convert to fraction form
    474.07/648.59 = 472.02/x
  3. Step 3: Cross multiply
    474.07x = 648.59 × 472.02
  4. Step 4: Simplify right side
    474.07x = 306,147.45
  5. Step 5: Solve for x
    x = 306,147.45/474.07
  6. Step 6: Final answer
    x = 645.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.