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Finding the Fourth Proportional to 1,516.91, 2,275.43 and 786.02

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Solution

The fourth proportional to 1,516.91, 2,275.43 and 786.02 is: 1,179.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.91 : 2,275.43 = 786.02 : x
  2. Step 2: Convert to fraction form
    1,516.91/2,275.43 = 786.02/x
  3. Step 3: Cross multiply
    1,516.91x = 2,275.43 × 786.02
  4. Step 4: Simplify right side
    1,516.91x = 1,788,518.18
  5. Step 5: Solve for x
    x = 1,788,518.18/1,516.91
  6. Step 6: Final answer
    x = 1,179.06

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Why These Related Problems?

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