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Finding the Fourth Proportional to 851.66, 1,175.56 and 536.98

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Solution

The fourth proportional to 851.66, 1,175.56 and 536.98 is: 741.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.66 : 1,175.56 = 536.98 : x
  2. Step 2: Convert to fraction form
    851.66/1,175.56 = 536.98/x
  3. Step 3: Cross multiply
    851.66x = 1,175.56 × 536.98
  4. Step 4: Simplify right side
    851.66x = 631,252.21
  5. Step 5: Solve for x
    x = 631,252.21/851.66
  6. Step 6: Final answer
    x = 741.20

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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.