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Finding the Fourth Proportional to 865.84, 1,298.94 and 785.20

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Solution

The fourth proportional to 865.84, 1,298.94 and 785.20 is: 1,177.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.84 : 1,298.94 = 785.20 : x
  2. Step 2: Convert to fraction form
    865.84/1,298.94 = 785.20/x
  3. Step 3: Cross multiply
    865.84x = 1,298.94 × 785.20
  4. Step 4: Simplify right side
    865.84x = 1,019,927.69
  5. Step 5: Solve for x
    x = 1,019,927.69/865.84
  6. Step 6: Final answer
    x = 1,177.96

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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.