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Finding the Fourth Proportional to 557.69, 834.99 and 362.91

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Solution

The fourth proportional to 557.69, 834.99 and 362.91 is: 543.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.69 : 834.99 = 362.91 : x
  2. Step 2: Convert to fraction form
    557.69/834.99 = 362.91/x
  3. Step 3: Cross multiply
    557.69x = 834.99 × 362.91
  4. Step 4: Simplify right side
    557.69x = 303,026.22
  5. Step 5: Solve for x
    x = 303,026.22/557.69
  6. Step 6: Final answer
    x = 543.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.