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Finding the Fourth Proportional to 865.84, 1,297.03 and 591.25

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Solution

The fourth proportional to 865.84, 1,297.03 and 591.25 is: 885.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.84 : 1,297.03 = 591.25 : x
  2. Step 2: Convert to fraction form
    865.84/1,297.03 = 591.25/x
  3. Step 3: Cross multiply
    865.84x = 1,297.03 × 591.25
  4. Step 4: Simplify right side
    865.84x = 766,868.99
  5. Step 5: Solve for x
    x = 766,868.99/865.84
  6. Step 6: Final answer
    x = 885.69

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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.