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Finding the Fourth Proportional to 557.52, 768.84 and 433

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Solution

The fourth proportional to 557.52, 768.84 and 433 is: 597.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.52 : 768.84 = 433 : x
  2. Step 2: Convert to fraction form
    557.52/768.84 = 433/x
  3. Step 3: Cross multiply
    557.52x = 768.84 × 433
  4. Step 4: Simplify right side
    557.52x = 332,907.72
  5. Step 5: Solve for x
    x = 332,907.72/557.52
  6. Step 6: Final answer
    x = 597.12

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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.