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Finding the Fourth Proportional to 557.39, 833.02 and 513.61

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Solution

The fourth proportional to 557.39, 833.02 and 513.61 is: 767.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.39 : 833.02 = 513.61 : x
  2. Step 2: Convert to fraction form
    557.39/833.02 = 513.61/x
  3. Step 3: Cross multiply
    557.39x = 833.02 × 513.61
  4. Step 4: Simplify right side
    557.39x = 427,847.40
  5. Step 5: Solve for x
    x = 427,847.40/557.39
  6. Step 6: Final answer
    x = 767.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.