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Finding the Fourth Proportional to 1,225.26, 1,690.80 and 701.28

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Solution

The fourth proportional to 1,225.26, 1,690.80 and 701.28 is: 967.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.26 : 1,690.80 = 701.28 : x
  2. Step 2: Convert to fraction form
    1,225.26/1,690.80 = 701.28/x
  3. Step 3: Cross multiply
    1,225.26x = 1,690.80 × 701.28
  4. Step 4: Simplify right side
    1,225.26x = 1,185,724.22
  5. Step 5: Solve for x
    x = 1,185,724.22/1,225.26
  6. Step 6: Final answer
    x = 967.73

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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.