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Finding the Fourth Proportional to 627.98, 866 and 470.98

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Solution

The fourth proportional to 627.98, 866 and 470.98 is: 649.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.98 : 866 = 470.98 : x
  2. Step 2: Convert to fraction form
    627.98/866 = 470.98/x
  3. Step 3: Cross multiply
    627.98x = 866 × 470.98
  4. Step 4: Simplify right side
    627.98x = 407,868.68
  5. Step 5: Solve for x
    x = 407,868.68/627.98
  6. Step 6: Final answer
    x = 649.49

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1.5x scale

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.