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Finding the Fourth Proportional to 851.90, 1,175.46 and 537.21

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Solution

The fourth proportional to 851.90, 1,175.46 and 537.21 is: 741.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.90 : 1,175.46 = 537.21 : x
  2. Step 2: Convert to fraction form
    851.90/1,175.46 = 537.21/x
  3. Step 3: Cross multiply
    851.90x = 1,175.46 × 537.21
  4. Step 4: Simplify right side
    851.90x = 631,468.87
  5. Step 5: Solve for x
    x = 631,468.87/851.90
  6. Step 6: Final answer
    x = 741.25

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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.