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Finding the Fourth Proportional to 599.79, 897.80 and 512.31

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Solution

The fourth proportional to 599.79, 897.80 and 512.31 is: 766.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.79 : 897.80 = 512.31 : x
  2. Step 2: Convert to fraction form
    599.79/897.80 = 512.31/x
  3. Step 3: Cross multiply
    599.79x = 897.80 × 512.31
  4. Step 4: Simplify right side
    599.79x = 459,949.36
  5. Step 5: Solve for x
    x = 459,949.36/599.79
  6. Step 6: Final answer
    x = 766.85

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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.