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Finding the Fourth Proportional to 929.18, 1,282.40 and 536.12

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Solution

The fourth proportional to 929.18, 1,282.40 and 536.12 is: 739.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.18 : 1,282.40 = 536.12 : x
  2. Step 2: Convert to fraction form
    929.18/1,282.40 = 536.12/x
  3. Step 3: Cross multiply
    929.18x = 1,282.40 × 536.12
  4. Step 4: Simplify right side
    929.18x = 687,511.20
  5. Step 5: Solve for x
    x = 687,511.20/929.18
  6. Step 6: Final answer
    x = 739.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.