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Finding the Fourth Proportional to 832.84, 1,149.78 and 557

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Solution

The fourth proportional to 832.84, 1,149.78 and 557 is: 768.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.84 : 1,149.78 = 557 : x
  2. Step 2: Convert to fraction form
    832.84/1,149.78 = 557/x
  3. Step 3: Cross multiply
    832.84x = 1,149.78 × 557
  4. Step 4: Simplify right side
    832.84x = 640,427.46
  5. Step 5: Solve for x
    x = 640,427.46/832.84
  6. Step 6: Final answer
    x = 768.97

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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.