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Finding the Fourth Proportional to 851.42, 1,175.20 and 502.22

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Solution

The fourth proportional to 851.42, 1,175.20 and 502.22 is: 693.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.42 : 1,175.20 = 502.22 : x
  2. Step 2: Convert to fraction form
    851.42/1,175.20 = 502.22/x
  3. Step 3: Cross multiply
    851.42x = 1,175.20 × 502.22
  4. Step 4: Simplify right side
    851.42x = 590,208.94
  5. Step 5: Solve for x
    x = 590,208.94/851.42
  6. Step 6: Final answer
    x = 693.21

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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.