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Finding the Fourth Proportional to 643.78, 888.51 and 476.02

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Solution

The fourth proportional to 643.78, 888.51 and 476.02 is: 656.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.78 : 888.51 = 476.02 : x
  2. Step 2: Convert to fraction form
    643.78/888.51 = 476.02/x
  3. Step 3: Cross multiply
    643.78x = 888.51 × 476.02
  4. Step 4: Simplify right side
    643.78x = 422,948.53
  5. Step 5: Solve for x
    x = 422,948.53/643.78
  6. Step 6: Final answer
    x = 656.98

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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.