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Finding the Fourth Proportional to 1,214.26, 1,675.86 and 690.60

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Solution

The fourth proportional to 1,214.26, 1,675.86 and 690.60 is: 953.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.26 : 1,675.86 = 690.60 : x
  2. Step 2: Convert to fraction form
    1,214.26/1,675.86 = 690.60/x
  3. Step 3: Cross multiply
    1,214.26x = 1,675.86 × 690.60
  4. Step 4: Simplify right side
    1,214.26x = 1,157,348.92
  5. Step 5: Solve for x
    x = 1,157,348.92/1,214.26
  6. Step 6: Final answer
    x = 953.13

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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.