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Finding the Fourth Proportional to 770.96, 1,070.19 and 722.36

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Solution

The fourth proportional to 770.96, 1,070.19 and 722.36 is: 1,002.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.96 : 1,070.19 = 722.36 : x
  2. Step 2: Convert to fraction form
    770.96/1,070.19 = 722.36/x
  3. Step 3: Cross multiply
    770.96x = 1,070.19 × 722.36
  4. Step 4: Simplify right side
    770.96x = 773,057.10
  5. Step 5: Solve for x
    x = 773,057.10/770.96
  6. Step 6: Final answer
    x = 1,002.73

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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.