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Finding the Fourth Proportional to 591.49, 886.28 and 360.46

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Solution

The fourth proportional to 591.49, 886.28 and 360.46 is: 540.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.49 : 886.28 = 360.46 : x
  2. Step 2: Convert to fraction form
    591.49/886.28 = 360.46/x
  3. Step 3: Cross multiply
    591.49x = 886.28 × 360.46
  4. Step 4: Simplify right side
    591.49x = 319,467.79
  5. Step 5: Solve for x
    x = 319,467.79/591.49
  6. Step 6: Final answer
    x = 540.11

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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.