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Finding the Fourth Proportional to 1,211.69, 1,670.85 and 959.21

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Solution

The fourth proportional to 1,211.69, 1,670.85 and 959.21 is: 1,322.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.69 : 1,670.85 = 959.21 : x
  2. Step 2: Convert to fraction form
    1,211.69/1,670.85 = 959.21/x
  3. Step 3: Cross multiply
    1,211.69x = 1,670.85 × 959.21
  4. Step 4: Simplify right side
    1,211.69x = 1,602,687.67
  5. Step 5: Solve for x
    x = 1,602,687.67/1,211.69
  6. Step 6: Final answer
    x = 1,322.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.