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Finding the Fourth Proportional to 590.22, 888.14 and 486.85

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Solution

The fourth proportional to 590.22, 888.14 and 486.85 is: 732.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.22 : 888.14 = 486.85 : x
  2. Step 2: Convert to fraction form
    590.22/888.14 = 486.85/x
  3. Step 3: Cross multiply
    590.22x = 888.14 × 486.85
  4. Step 4: Simplify right side
    590.22x = 432,390.96
  5. Step 5: Solve for x
    x = 432,390.96/590.22
  6. Step 6: Final answer
    x = 732.60

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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.