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Finding the Fourth Proportional to 1,356.34, 2,035.71 and 698.68

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Solution

The fourth proportional to 1,356.34, 2,035.71 and 698.68 is: 1,048.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.34 : 2,035.71 = 698.68 : x
  2. Step 2: Convert to fraction form
    1,356.34/2,035.71 = 698.68/x
  3. Step 3: Cross multiply
    1,356.34x = 2,035.71 × 698.68
  4. Step 4: Simplify right side
    1,356.34x = 1,422,309.86
  5. Step 5: Solve for x
    x = 1,422,309.86/1,356.34
  6. Step 6: Final answer
    x = 1,048.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.