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Finding the Fourth Proportional to 1,225.17, 1,690.80 and 694.02

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Solution

The fourth proportional to 1,225.17, 1,690.80 and 694.02 is: 957.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.17 : 1,690.80 = 694.02 : x
  2. Step 2: Convert to fraction form
    1,225.17/1,690.80 = 694.02/x
  3. Step 3: Cross multiply
    1,225.17x = 1,690.80 × 694.02
  4. Step 4: Simplify right side
    1,225.17x = 1,173,449.02
  5. Step 5: Solve for x
    x = 1,173,449.02/1,225.17
  6. Step 6: Final answer
    x = 957.78

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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.