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Finding the Fourth Proportional to 830.11, 1,144.85 and 643.27

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Solution

The fourth proportional to 830.11, 1,144.85 and 643.27 is: 887.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.11 : 1,144.85 = 643.27 : x
  2. Step 2: Convert to fraction form
    830.11/1,144.85 = 643.27/x
  3. Step 3: Cross multiply
    830.11x = 1,144.85 × 643.27
  4. Step 4: Simplify right side
    830.11x = 736,447.66
  5. Step 5: Solve for x
    x = 736,447.66/830.11
  6. Step 6: Final answer
    x = 887.17

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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.