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Finding the Fourth Proportional to 785.26, 1,085.69 and 750.83

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Solution

The fourth proportional to 785.26, 1,085.69 and 750.83 is: 1,038.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.26 : 1,085.69 = 750.83 : x
  2. Step 2: Convert to fraction form
    785.26/1,085.69 = 750.83/x
  3. Step 3: Cross multiply
    785.26x = 1,085.69 × 750.83
  4. Step 4: Simplify right side
    785.26x = 815,168.62
  5. Step 5: Solve for x
    x = 815,168.62/785.26
  6. Step 6: Final answer
    x = 1,038.09

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1.5x scale

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.