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Finding the Fourth Proportional to 1,613.13, 2,415.59 and 1,063.65

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Solution

The fourth proportional to 1,613.13, 2,415.59 and 1,063.65 is: 1,592.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.13 : 2,415.59 = 1,063.65 : x
  2. Step 2: Convert to fraction form
    1,613.13/2,415.59 = 1,063.65/x
  3. Step 3: Cross multiply
    1,613.13x = 2,415.59 × 1,063.65
  4. Step 4: Simplify right side
    1,613.13x = 2,569,342.30
  5. Step 5: Solve for x
    x = 2,569,342.30/1,613.13
  6. Step 6: Final answer
    x = 1,592.77

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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.