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Finding the Fourth Proportional to 1,129.68, 1,693.44 and 544.32

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Solution

The fourth proportional to 1,129.68, 1,693.44 and 544.32 is: 815.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.68 : 1,693.44 = 544.32 : x
  2. Step 2: Convert to fraction form
    1,129.68/1,693.44 = 544.32/x
  3. Step 3: Cross multiply
    1,129.68x = 1,693.44 × 544.32
  4. Step 4: Simplify right side
    1,129.68x = 921,773.26
  5. Step 5: Solve for x
    x = 921,773.26/1,129.68
  6. Step 6: Final answer
    x = 815.96

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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.