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Finding the Fourth Proportional to 986.96, 1,487.93 and 934.04

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Solution

The fourth proportional to 986.96, 1,487.93 and 934.04 is: 1,408.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.96 : 1,487.93 = 934.04 : x
  2. Step 2: Convert to fraction form
    986.96/1,487.93 = 934.04/x
  3. Step 3: Cross multiply
    986.96x = 1,487.93 × 934.04
  4. Step 4: Simplify right side
    986.96x = 1,389,786.14
  5. Step 5: Solve for x
    x = 1,389,786.14/986.96
  6. Step 6: Final answer
    x = 1,408.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.