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Finding the Fourth Proportional to 557.79, 769.75 and 309.12

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Solution

The fourth proportional to 557.79, 769.75 and 309.12 is: 426.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.79 : 769.75 = 309.12 : x
  2. Step 2: Convert to fraction form
    557.79/769.75 = 309.12/x
  3. Step 3: Cross multiply
    557.79x = 769.75 × 309.12
  4. Step 4: Simplify right side
    557.79x = 237,943.20
  5. Step 5: Solve for x
    x = 237,943.20/557.79
  6. Step 6: Final answer
    x = 426.58

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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.