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Finding the Fourth Proportional to 839.16, 1,157.28 and 544.12

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Solution

The fourth proportional to 839.16, 1,157.28 and 544.12 is: 750.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.16 : 1,157.28 = 544.12 : x
  2. Step 2: Convert to fraction form
    839.16/1,157.28 = 544.12/x
  3. Step 3: Cross multiply
    839.16x = 1,157.28 × 544.12
  4. Step 4: Simplify right side
    839.16x = 629,699.19
  5. Step 5: Solve for x
    x = 629,699.19/839.16
  6. Step 6: Final answer
    x = 750.39

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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.