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Finding the Fourth Proportional to 643.55, 961.55 and 476.06

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Solution

The fourth proportional to 643.55, 961.55 and 476.06 is: 711.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.55 : 961.55 = 476.06 : x
  2. Step 2: Convert to fraction form
    643.55/961.55 = 476.06/x
  3. Step 3: Cross multiply
    643.55x = 961.55 × 476.06
  4. Step 4: Simplify right side
    643.55x = 457,755.49
  5. Step 5: Solve for x
    x = 457,755.49/643.55
  6. Step 6: Final answer
    x = 711.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.