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Finding the Fourth Proportional to 932.94, 1,399.74 and 522.43

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Solution

The fourth proportional to 932.94, 1,399.74 and 522.43 is: 783.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.94 : 1,399.74 = 522.43 : x
  2. Step 2: Convert to fraction form
    932.94/1,399.74 = 522.43/x
  3. Step 3: Cross multiply
    932.94x = 1,399.74 × 522.43
  4. Step 4: Simplify right side
    932.94x = 731,266.17
  5. Step 5: Solve for x
    x = 731,266.17/932.94
  6. Step 6: Final answer
    x = 783.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.