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Finding the Fourth Proportional to 1,320.06, 1,978.67 and 858.17

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Solution

The fourth proportional to 1,320.06, 1,978.67 and 858.17 is: 1,286.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.06 : 1,978.67 = 858.17 : x
  2. Step 2: Convert to fraction form
    1,320.06/1,978.67 = 858.17/x
  3. Step 3: Cross multiply
    1,320.06x = 1,978.67 × 858.17
  4. Step 4: Simplify right side
    1,320.06x = 1,698,035.23
  5. Step 5: Solve for x
    x = 1,698,035.23/1,320.06
  6. Step 6: Final answer
    x = 1,286.33

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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.