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Finding the Fourth Proportional to 557.31, 768.26 and 424.30

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Solution

The fourth proportional to 557.31, 768.26 and 424.30 is: 584.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.31 : 768.26 = 424.30 : x
  2. Step 2: Convert to fraction form
    557.31/768.26 = 424.30/x
  3. Step 3: Cross multiply
    557.31x = 768.26 × 424.30
  4. Step 4: Simplify right side
    557.31x = 325,969.67
  5. Step 5: Solve for x
    x = 325,969.67/557.31
  6. Step 6: Final answer
    x = 584.90

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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.