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Finding the Fourth Proportional to 790.02, 1,091.67 and 752.07

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Solution

The fourth proportional to 790.02, 1,091.67 and 752.07 is: 1,039.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.02 : 1,091.67 = 752.07 : x
  2. Step 2: Convert to fraction form
    790.02/1,091.67 = 752.07/x
  3. Step 3: Cross multiply
    790.02x = 1,091.67 × 752.07
  4. Step 4: Simplify right side
    790.02x = 821,012.26
  5. Step 5: Solve for x
    x = 821,012.26/790.02
  6. Step 6: Final answer
    x = 1,039.23

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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.