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Finding the Fourth Proportional to 1,737.58, 2,606.86 and 698.31

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Solution

The fourth proportional to 1,737.58, 2,606.86 and 698.31 is: 1,047.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.58 : 2,606.86 = 698.31 : x
  2. Step 2: Convert to fraction form
    1,737.58/2,606.86 = 698.31/x
  3. Step 3: Cross multiply
    1,737.58x = 2,606.86 × 698.31
  4. Step 4: Simplify right side
    1,737.58x = 1,820,392.92
  5. Step 5: Solve for x
    x = 1,820,392.92/1,737.58
  6. Step 6: Final answer
    x = 1,047.66

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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.