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Finding the Fourth Proportional to 740.74, 1,107.01 and 698.06

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Solution

The fourth proportional to 740.74, 1,107.01 and 698.06 is: 1,043.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.74 : 1,107.01 = 698.06 : x
  2. Step 2: Convert to fraction form
    740.74/1,107.01 = 698.06/x
  3. Step 3: Cross multiply
    740.74x = 1,107.01 × 698.06
  4. Step 4: Simplify right side
    740.74x = 772,759.40
  5. Step 5: Solve for x
    x = 772,759.40/740.74
  6. Step 6: Final answer
    x = 1,043.23

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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.