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Finding the Fourth Proportional to 1,288.16, 1,778.46 and 869.06

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Solution

The fourth proportional to 1,288.16, 1,778.46 and 869.06 is: 1,199.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.16 : 1,778.46 = 869.06 : x
  2. Step 2: Convert to fraction form
    1,288.16/1,778.46 = 869.06/x
  3. Step 3: Cross multiply
    1,288.16x = 1,778.46 × 869.06
  4. Step 4: Simplify right side
    1,288.16x = 1,545,588.45
  5. Step 5: Solve for x
    x = 1,545,588.45/1,288.16
  6. Step 6: Final answer
    x = 1,199.84

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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.