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Finding the Fourth Proportional to 590.88, 886.50 and 396.66

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Solution

The fourth proportional to 590.88, 886.50 and 396.66 is: 595.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.88 : 886.50 = 396.66 : x
  2. Step 2: Convert to fraction form
    590.88/886.50 = 396.66/x
  3. Step 3: Cross multiply
    590.88x = 886.50 × 396.66
  4. Step 4: Simplify right side
    590.88x = 351,639.09
  5. Step 5: Solve for x
    x = 351,639.09/590.88
  6. Step 6: Final answer
    x = 595.11

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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.