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Finding the Fourth Proportional to 542.34, 813.53 and 385.52

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Solution

The fourth proportional to 542.34, 813.53 and 385.52 is: 578.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.34 : 813.53 = 385.52 : x
  2. Step 2: Convert to fraction form
    542.34/813.53 = 385.52/x
  3. Step 3: Cross multiply
    542.34x = 813.53 × 385.52
  4. Step 4: Simplify right side
    542.34x = 313,626.09
  5. Step 5: Solve for x
    x = 313,626.09/542.34
  6. Step 6: Final answer
    x = 578.28

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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.