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Finding the Fourth Proportional to 742.50, 1,106.48 and 698.69

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Solution

The fourth proportional to 742.50, 1,106.48 and 698.69 is: 1,041.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.50 : 1,106.48 = 698.69 : x
  2. Step 2: Convert to fraction form
    742.50/1,106.48 = 698.69/x
  3. Step 3: Cross multiply
    742.50x = 1,106.48 × 698.69
  4. Step 4: Simplify right side
    742.50x = 773,077.49
  5. Step 5: Solve for x
    x = 773,077.49/742.50
  6. Step 6: Final answer
    x = 1,041.18

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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.