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Finding the Fourth Proportional to 473.57, 647.91 and 471.52

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Solution

The fourth proportional to 473.57, 647.91 and 471.52 is: 645.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.57 : 647.91 = 471.52 : x
  2. Step 2: Convert to fraction form
    473.57/647.91 = 471.52/x
  3. Step 3: Cross multiply
    473.57x = 647.91 × 471.52
  4. Step 4: Simplify right side
    473.57x = 305,496.93
  5. Step 5: Solve for x
    x = 305,496.93/473.57
  6. Step 6: Final answer
    x = 645.09

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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.