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Finding the Fourth Proportional to 823.59, 1,240.27 and 716.67

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Solution

The fourth proportional to 823.59, 1,240.27 and 716.67 is: 1,079.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.59 : 1,240.27 = 716.67 : x
  2. Step 2: Convert to fraction form
    823.59/1,240.27 = 716.67/x
  3. Step 3: Cross multiply
    823.59x = 1,240.27 × 716.67
  4. Step 4: Simplify right side
    823.59x = 888,862.51
  5. Step 5: Solve for x
    x = 888,862.51/823.59
  6. Step 6: Final answer
    x = 1,079.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.