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Finding the Fourth Proportional to 1,009.14, 1,513.10 and 658.01

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Solution

The fourth proportional to 1,009.14, 1,513.10 and 658.01 is: 986.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.14 : 1,513.10 = 658.01 : x
  2. Step 2: Convert to fraction form
    1,009.14/1,513.10 = 658.01/x
  3. Step 3: Cross multiply
    1,009.14x = 1,513.10 × 658.01
  4. Step 4: Simplify right side
    1,009.14x = 995,627.37
  5. Step 5: Solve for x
    x = 995,627.37/1,009.14
  6. Step 6: Final answer
    x = 986.61

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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.