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Finding the Fourth Proportional to 1,335.17, 1,842.50 and 775.73

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Solution

The fourth proportional to 1,335.17, 1,842.50 and 775.73 is: 1,070.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.17 : 1,842.50 = 775.73 : x
  2. Step 2: Convert to fraction form
    1,335.17/1,842.50 = 775.73/x
  3. Step 3: Cross multiply
    1,335.17x = 1,842.50 × 775.73
  4. Step 4: Simplify right side
    1,335.17x = 1,429,269.43
  5. Step 5: Solve for x
    x = 1,429,269.43/1,335.17
  6. Step 6: Final answer
    x = 1,070.48

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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.