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Finding the Fourth Proportional to 1,016.46, 1,516.34 and 907.14

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Solution

The fourth proportional to 1,016.46, 1,516.34 and 907.14 is: 1,353.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.46 : 1,516.34 = 907.14 : x
  2. Step 2: Convert to fraction form
    1,016.46/1,516.34 = 907.14/x
  3. Step 3: Cross multiply
    1,016.46x = 1,516.34 × 907.14
  4. Step 4: Simplify right side
    1,016.46x = 1,375,528.13
  5. Step 5: Solve for x
    x = 1,375,528.13/1,016.46
  6. Step 6: Final answer
    x = 1,353.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.