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Finding the Fourth Proportional to 741.70, 1,024.41 and 698.50

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Solution

The fourth proportional to 741.70, 1,024.41 and 698.50 is: 964.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.70 : 1,024.41 = 698.50 : x
  2. Step 2: Convert to fraction form
    741.70/1,024.41 = 698.50/x
  3. Step 3: Cross multiply
    741.70x = 1,024.41 × 698.50
  4. Step 4: Simplify right side
    741.70x = 715,550.39
  5. Step 5: Solve for x
    x = 715,550.39/741.70
  6. Step 6: Final answer
    x = 964.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.