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Finding the Fourth Proportional to 751.76, 1,117.78 and 722.60

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Solution

The fourth proportional to 751.76, 1,117.78 and 722.60 is: 1,074.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.76 : 1,117.78 = 722.60 : x
  2. Step 2: Convert to fraction form
    751.76/1,117.78 = 722.60/x
  3. Step 3: Cross multiply
    751.76x = 1,117.78 × 722.60
  4. Step 4: Simplify right side
    751.76x = 807,707.83
  5. Step 5: Solve for x
    x = 807,707.83/751.76
  6. Step 6: Final answer
    x = 1,074.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.