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Finding the Fourth Proportional to 473.83, 648.25 and 471.78

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Solution

The fourth proportional to 473.83, 648.25 and 471.78 is: 645.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.83 : 648.25 = 471.78 : x
  2. Step 2: Convert to fraction form
    473.83/648.25 = 471.78/x
  3. Step 3: Cross multiply
    473.83x = 648.25 × 471.78
  4. Step 4: Simplify right side
    473.83x = 305,830.21
  5. Step 5: Solve for x
    x = 305,830.21/473.83
  6. Step 6: Final answer
    x = 645.45

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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.