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Finding the Fourth Proportional to 722.76, 998.04 and 613.12

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Solution

The fourth proportional to 722.76, 998.04 and 613.12 is: 846.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.76 : 998.04 = 613.12 : x
  2. Step 2: Convert to fraction form
    722.76/998.04 = 613.12/x
  3. Step 3: Cross multiply
    722.76x = 998.04 × 613.12
  4. Step 4: Simplify right side
    722.76x = 611,918.28
  5. Step 5: Solve for x
    x = 611,918.28/722.76
  6. Step 6: Final answer
    x = 846.64

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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.