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Finding the Fourth Proportional to 851.31, 1,175.12 and 536.47

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Solution

The fourth proportional to 851.31, 1,175.12 and 536.47 is: 740.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.31 : 1,175.12 = 536.47 : x
  2. Step 2: Convert to fraction form
    851.31/1,175.12 = 536.47/x
  3. Step 3: Cross multiply
    851.31x = 1,175.12 × 536.47
  4. Step 4: Simplify right side
    851.31x = 630,416.63
  5. Step 5: Solve for x
    x = 630,416.63/851.31
  6. Step 6: Final answer
    x = 740.53

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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.