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Finding the Fourth Proportional to 627.75, 866.70 and 403.77

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Solution

The fourth proportional to 627.75, 866.70 and 403.77 is: 557.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.75 : 866.70 = 403.77 : x
  2. Step 2: Convert to fraction form
    627.75/866.70 = 403.77/x
  3. Step 3: Cross multiply
    627.75x = 866.70 × 403.77
  4. Step 4: Simplify right side
    627.75x = 349,947.46
  5. Step 5: Solve for x
    x = 349,947.46/627.75
  6. Step 6: Final answer
    x = 557.46

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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.