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Finding the Fourth Proportional to 1,297.65, 1,946.07 and 750.09

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Solution

The fourth proportional to 1,297.65, 1,946.07 and 750.09 is: 1,124.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.65 : 1,946.07 = 750.09 : x
  2. Step 2: Convert to fraction form
    1,297.65/1,946.07 = 750.09/x
  3. Step 3: Cross multiply
    1,297.65x = 1,946.07 × 750.09
  4. Step 4: Simplify right side
    1,297.65x = 1,459,727.65
  5. Step 5: Solve for x
    x = 1,459,727.65/1,297.65
  6. Step 6: Final answer
    x = 1,124.90

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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.