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Finding the Fourth Proportional to 1,298.77, 1,792.71 and 1,232.65

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Solution

The fourth proportional to 1,298.77, 1,792.71 and 1,232.65 is: 1,701.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.77 : 1,792.71 = 1,232.65 : x
  2. Step 2: Convert to fraction form
    1,298.77/1,792.71 = 1,232.65/x
  3. Step 3: Cross multiply
    1,298.77x = 1,792.71 × 1,232.65
  4. Step 4: Simplify right side
    1,298.77x = 2,209,783.98
  5. Step 5: Solve for x
    x = 2,209,783.98/1,298.77
  6. Step 6: Final answer
    x = 1,701.44

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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.