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Finding the Fourth Proportional to 1,098.04, 1,644.18 and 771.64

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Solution

The fourth proportional to 1,098.04, 1,644.18 and 771.64 is: 1,155.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.04 : 1,644.18 = 771.64 : x
  2. Step 2: Convert to fraction form
    1,098.04/1,644.18 = 771.64/x
  3. Step 3: Cross multiply
    1,098.04x = 1,644.18 × 771.64
  4. Step 4: Simplify right side
    1,098.04x = 1,268,715.06
  5. Step 5: Solve for x
    x = 1,268,715.06/1,098.04
  6. Step 6: Final answer
    x = 1,155.44

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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.