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Finding the Fourth Proportional to 557.94, 769.62 and 433.40

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Solution

The fourth proportional to 557.94, 769.62 and 433.40 is: 597.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.94 : 769.62 = 433.40 : x
  2. Step 2: Convert to fraction form
    557.94/769.62 = 433.40/x
  3. Step 3: Cross multiply
    557.94x = 769.62 × 433.40
  4. Step 4: Simplify right side
    557.94x = 333,553.31
  5. Step 5: Solve for x
    x = 333,553.31/557.94
  6. Step 6: Final answer
    x = 597.83

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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.