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Finding the Fourth Proportional to 722.85, 1,004.24 and 716.10

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Solution

The fourth proportional to 722.85, 1,004.24 and 716.10 is: 994.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.85 : 1,004.24 = 716.10 : x
  2. Step 2: Convert to fraction form
    722.85/1,004.24 = 716.10/x
  3. Step 3: Cross multiply
    722.85x = 1,004.24 × 716.10
  4. Step 4: Simplify right side
    722.85x = 719,132.68
  5. Step 5: Solve for x
    x = 719,132.68/722.85
  6. Step 6: Final answer
    x = 994.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.