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Finding the Fourth Proportional to 1,009.93, 1,516.11 and 684.31

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Solution

The fourth proportional to 1,009.93, 1,516.11 and 684.31 is: 1,027.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.93 : 1,516.11 = 684.31 : x
  2. Step 2: Convert to fraction form
    1,009.93/1,516.11 = 684.31/x
  3. Step 3: Cross multiply
    1,009.93x = 1,516.11 × 684.31
  4. Step 4: Simplify right side
    1,009.93x = 1,037,489.23
  5. Step 5: Solve for x
    x = 1,037,489.23/1,009.93
  6. Step 6: Final answer
    x = 1,027.29

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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.