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Finding the Fourth Proportional to 865.41, 1,297.19 and 590.82

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Solution

The fourth proportional to 865.41, 1,297.19 and 590.82 is: 885.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.41 : 1,297.19 = 590.82 : x
  2. Step 2: Convert to fraction form
    865.41/1,297.19 = 590.82/x
  3. Step 3: Cross multiply
    865.41x = 1,297.19 × 590.82
  4. Step 4: Simplify right side
    865.41x = 766,405.80
  5. Step 5: Solve for x
    x = 766,405.80/865.41
  6. Step 6: Final answer
    x = 885.60

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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.