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Finding the Fourth Proportional to 557.95, 769.97 and 309.27

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Solution

The fourth proportional to 557.95, 769.97 and 309.27 is: 426.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.95 : 769.97 = 309.27 : x
  2. Step 2: Convert to fraction form
    557.95/769.97 = 309.27/x
  3. Step 3: Cross multiply
    557.95x = 769.97 × 309.27
  4. Step 4: Simplify right side
    557.95x = 238,130.26
  5. Step 5: Solve for x
    x = 238,130.26/557.95
  6. Step 6: Final answer
    x = 426.80

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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.