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Finding the Fourth Proportional to 1,117.14, 1,676.02 and 386.73

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Solution

The fourth proportional to 1,117.14, 1,676.02 and 386.73 is: 580.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.14 : 1,676.02 = 386.73 : x
  2. Step 2: Convert to fraction form
    1,117.14/1,676.02 = 386.73/x
  3. Step 3: Cross multiply
    1,117.14x = 1,676.02 × 386.73
  4. Step 4: Simplify right side
    1,117.14x = 648,167.21
  5. Step 5: Solve for x
    x = 648,167.21/1,117.14
  6. Step 6: Final answer
    x = 580.20

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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.