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Finding the Fourth Proportional to 1,230.98, 1,696.86 and 875.84

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Solution

The fourth proportional to 1,230.98, 1,696.86 and 875.84 is: 1,207.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.98 : 1,696.86 = 875.84 : x
  2. Step 2: Convert to fraction form
    1,230.98/1,696.86 = 875.84/x
  3. Step 3: Cross multiply
    1,230.98x = 1,696.86 × 875.84
  4. Step 4: Simplify right side
    1,230.98x = 1,486,169.38
  5. Step 5: Solve for x
    x = 1,486,169.38/1,230.98
  6. Step 6: Final answer
    x = 1,207.31

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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.