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Finding the Fourth Proportional to 472.60, 643.45 and 471.14

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Solution

The fourth proportional to 472.60, 643.45 and 471.14 is: 641.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.60 : 643.45 = 471.14 : x
  2. Step 2: Convert to fraction form
    472.60/643.45 = 471.14/x
  3. Step 3: Cross multiply
    472.60x = 643.45 × 471.14
  4. Step 4: Simplify right side
    472.60x = 303,152.68
  5. Step 5: Solve for x
    x = 303,152.68/472.60
  6. Step 6: Final answer
    x = 641.46

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.