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Finding the Fourth Proportional to 589.02, 879.21 and 512.52

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Solution

The fourth proportional to 589.02, 879.21 and 512.52 is: 765.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.02 : 879.21 = 512.52 : x
  2. Step 2: Convert to fraction form
    589.02/879.21 = 512.52/x
  3. Step 3: Cross multiply
    589.02x = 879.21 × 512.52
  4. Step 4: Simplify right side
    589.02x = 450,612.71
  5. Step 5: Solve for x
    x = 450,612.71/589.02
  6. Step 6: Final answer
    x = 765.02

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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.