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Finding the Fourth Proportional to 589.34, 879.58 and 511.86

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Solution

The fourth proportional to 589.34, 879.58 and 511.86 is: 763.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.34 : 879.58 = 511.86 : x
  2. Step 2: Convert to fraction form
    589.34/879.58 = 511.86/x
  3. Step 3: Cross multiply
    589.34x = 879.58 × 511.86
  4. Step 4: Simplify right side
    589.34x = 450,221.82
  5. Step 5: Solve for x
    x = 450,221.82/589.34
  6. Step 6: Final answer
    x = 763.94

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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.