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Finding the Fourth Proportional to 589.18, 885.12 and 486.86

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Solution

The fourth proportional to 589.18, 885.12 and 486.86 is: 731.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.18 : 885.12 = 486.86 : x
  2. Step 2: Convert to fraction form
    589.18/885.12 = 486.86/x
  3. Step 3: Cross multiply
    589.18x = 885.12 × 486.86
  4. Step 4: Simplify right side
    589.18x = 430,929.52
  5. Step 5: Solve for x
    x = 430,929.52/589.18
  6. Step 6: Final answer
    x = 731.41

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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.