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Finding the Fourth Proportional to 557.96, 769.93 and 309.22

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Solution

The fourth proportional to 557.96, 769.93 and 309.22 is: 426.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.96 : 769.93 = 309.22 : x
  2. Step 2: Convert to fraction form
    557.96/769.93 = 309.22/x
  3. Step 3: Cross multiply
    557.96x = 769.93 × 309.22
  4. Step 4: Simplify right side
    557.96x = 238,075.93
  5. Step 5: Solve for x
    x = 238,075.93/557.96
  6. Step 6: Final answer
    x = 426.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.