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Finding the Fourth Proportional to 1,088.64, 1,629.90 and 847.98

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Solution

The fourth proportional to 1,088.64, 1,629.90 and 847.98 is: 1,269.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.64 : 1,629.90 = 847.98 : x
  2. Step 2: Convert to fraction form
    1,088.64/1,629.90 = 847.98/x
  3. Step 3: Cross multiply
    1,088.64x = 1,629.90 × 847.98
  4. Step 4: Simplify right side
    1,088.64x = 1,382,122.60
  5. Step 5: Solve for x
    x = 1,382,122.60/1,088.64
  6. Step 6: Final answer
    x = 1,269.59

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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.