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Finding the Fourth Proportional to 895.38, 1,340.64 and 757.68

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Solution

The fourth proportional to 895.38, 1,340.64 and 757.68 is: 1,134.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.38 : 1,340.64 = 757.68 : x
  2. Step 2: Convert to fraction form
    895.38/1,340.64 = 757.68/x
  3. Step 3: Cross multiply
    895.38x = 1,340.64 × 757.68
  4. Step 4: Simplify right side
    895.38x = 1,015,776.12
  5. Step 5: Solve for x
    x = 1,015,776.12/895.38
  6. Step 6: Final answer
    x = 1,134.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.