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Finding the Fourth Proportional to 1,297.57, 1,790.62 and 708.11

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Solution

The fourth proportional to 1,297.57, 1,790.62 and 708.11 is: 977.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.57 : 1,790.62 = 708.11 : x
  2. Step 2: Convert to fraction form
    1,297.57/1,790.62 = 708.11/x
  3. Step 3: Cross multiply
    1,297.57x = 1,790.62 × 708.11
  4. Step 4: Simplify right side
    1,297.57x = 1,267,947.91
  5. Step 5: Solve for x
    x = 1,267,947.91/1,297.57
  6. Step 6: Final answer
    x = 977.17

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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.