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Finding the Fourth Proportional to 851.79, 1,175.13 and 536.97

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Solution

The fourth proportional to 851.79, 1,175.13 and 536.97 is: 740.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.79 : 1,175.13 = 536.97 : x
  2. Step 2: Convert to fraction form
    851.79/1,175.13 = 536.97/x
  3. Step 3: Cross multiply
    851.79x = 1,175.13 × 536.97
  4. Step 4: Simplify right side
    851.79x = 631,009.56
  5. Step 5: Solve for x
    x = 631,009.56/851.79
  6. Step 6: Final answer
    x = 740.80

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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.