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Finding the Fourth Proportional to 851.08, 1,174.08 and 519.16

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Solution

The fourth proportional to 851.08, 1,174.08 and 519.16 is: 716.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.08 : 1,174.08 = 519.16 : x
  2. Step 2: Convert to fraction form
    851.08/1,174.08 = 519.16/x
  3. Step 3: Cross multiply
    851.08x = 1,174.08 × 519.16
  4. Step 4: Simplify right side
    851.08x = 609,535.37
  5. Step 5: Solve for x
    x = 609,535.37/851.08
  6. Step 6: Final answer
    x = 716.19

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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.