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Finding the Fourth Proportional to 597.94, 892.71 and 511.31

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Solution

The fourth proportional to 597.94, 892.71 and 511.31 is: 763.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.94 : 892.71 = 511.31 : x
  2. Step 2: Convert to fraction form
    597.94/892.71 = 511.31/x
  3. Step 3: Cross multiply
    597.94x = 892.71 × 511.31
  4. Step 4: Simplify right side
    597.94x = 456,453.78
  5. Step 5: Solve for x
    x = 456,453.78/597.94
  6. Step 6: Final answer
    x = 763.38

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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.