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Finding the Fourth Proportional to 1,207.35, 1,667.65 and 930.94

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Solution

The fourth proportional to 1,207.35, 1,667.65 and 930.94 is: 1,285.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.35 : 1,667.65 = 930.94 : x
  2. Step 2: Convert to fraction form
    1,207.35/1,667.65 = 930.94/x
  3. Step 3: Cross multiply
    1,207.35x = 1,667.65 × 930.94
  4. Step 4: Simplify right side
    1,207.35x = 1,552,469.10
  5. Step 5: Solve for x
    x = 1,552,469.10/1,207.35
  6. Step 6: Final answer
    x = 1,285.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.