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Finding the Fourth Proportional to 929.60, 1,282.20 and 536.48

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Solution

The fourth proportional to 929.60, 1,282.20 and 536.48 is: 739.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.60 : 1,282.20 = 536.48 : x
  2. Step 2: Convert to fraction form
    929.60/1,282.20 = 536.48/x
  3. Step 3: Cross multiply
    929.60x = 1,282.20 × 536.48
  4. Step 4: Simplify right side
    929.60x = 687,874.66
  5. Step 5: Solve for x
    x = 687,874.66/929.60
  6. Step 6: Final answer
    x = 739.97

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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.