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Finding the Fourth Proportional to 1,121.75, 1,681.48 and 710.09

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Solution

The fourth proportional to 1,121.75, 1,681.48 and 710.09 is: 1,064.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.75 : 1,681.48 = 710.09 : x
  2. Step 2: Convert to fraction form
    1,121.75/1,681.48 = 710.09/x
  3. Step 3: Cross multiply
    1,121.75x = 1,681.48 × 710.09
  4. Step 4: Simplify right side
    1,121.75x = 1,194,007.65
  5. Step 5: Solve for x
    x = 1,194,007.65/1,121.75
  6. Step 6: Final answer
    x = 1,064.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.