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Finding the Fourth Proportional to 539.34, 813.08 and 522.33

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Solution

The fourth proportional to 539.34, 813.08 and 522.33 is: 787.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.34 : 813.08 = 522.33 : x
  2. Step 2: Convert to fraction form
    539.34/813.08 = 522.33/x
  3. Step 3: Cross multiply
    539.34x = 813.08 × 522.33
  4. Step 4: Simplify right side
    539.34x = 424,693.46
  5. Step 5: Solve for x
    x = 424,693.46/539.34
  6. Step 6: Final answer
    x = 787.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.