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Finding the Fourth Proportional to 1,078.72, 1,613.72 and 896.48

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Solution

The fourth proportional to 1,078.72, 1,613.72 and 896.48 is: 1,341.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.72 : 1,613.72 = 896.48 : x
  2. Step 2: Convert to fraction form
    1,078.72/1,613.72 = 896.48/x
  3. Step 3: Cross multiply
    1,078.72x = 1,613.72 × 896.48
  4. Step 4: Simplify right side
    1,078.72x = 1,446,667.71
  5. Step 5: Solve for x
    x = 1,446,667.71/1,078.72
  6. Step 6: Final answer
    x = 1,341.10

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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.