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Finding the Fourth Proportional to 741.98, 1,106.24 and 722.75

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Solution

The fourth proportional to 741.98, 1,106.24 and 722.75 is: 1,077.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.98 : 1,106.24 = 722.75 : x
  2. Step 2: Convert to fraction form
    741.98/1,106.24 = 722.75/x
  3. Step 3: Cross multiply
    741.98x = 1,106.24 × 722.75
  4. Step 4: Simplify right side
    741.98x = 799,525.82
  5. Step 5: Solve for x
    x = 799,525.82/741.98
  6. Step 6: Final answer
    x = 1,077.56

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1.5x scale

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.