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Finding the Fourth Proportional to 943.88, 1,302.43 and 594.50

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Solution

The fourth proportional to 943.88, 1,302.43 and 594.50 is: 820.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.88 : 1,302.43 = 594.50 : x
  2. Step 2: Convert to fraction form
    943.88/1,302.43 = 594.50/x
  3. Step 3: Cross multiply
    943.88x = 1,302.43 × 594.50
  4. Step 4: Simplify right side
    943.88x = 774,294.64
  5. Step 5: Solve for x
    x = 774,294.64/943.88
  6. Step 6: Final answer
    x = 820.33

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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.