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Finding the Fourth Proportional to 1,010.10, 1,516.86 and 958.14

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Solution

The fourth proportional to 1,010.10, 1,516.86 and 958.14 is: 1,438.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.10 : 1,516.86 = 958.14 : x
  2. Step 2: Convert to fraction form
    1,010.10/1,516.86 = 958.14/x
  3. Step 3: Cross multiply
    1,010.10x = 1,516.86 × 958.14
  4. Step 4: Simplify right side
    1,010.10x = 1,453,364.24
  5. Step 5: Solve for x
    x = 1,453,364.24/1,010.10
  6. Step 6: Final answer
    x = 1,438.83

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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.