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Finding the Fourth Proportional to 722.40, 995.76 and 690

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Solution

The fourth proportional to 722.40, 995.76 and 690 is: 951.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.40 : 995.76 = 690 : x
  2. Step 2: Convert to fraction form
    722.40/995.76 = 690/x
  3. Step 3: Cross multiply
    722.40x = 995.76 × 690
  4. Step 4: Simplify right side
    722.40x = 687,074.40
  5. Step 5: Solve for x
    x = 687,074.40/722.40
  6. Step 6: Final answer
    x = 951.10

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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.