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Finding the Fourth Proportional to 686.90, 1,030.38 and 200.02

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Solution

The fourth proportional to 686.90, 1,030.38 and 200.02 is: 300.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.90 : 1,030.38 = 200.02 : x
  2. Step 2: Convert to fraction form
    686.90/1,030.38 = 200.02/x
  3. Step 3: Cross multiply
    686.90x = 1,030.38 × 200.02
  4. Step 4: Simplify right side
    686.90x = 206,096.61
  5. Step 5: Solve for x
    x = 206,096.61/686.90
  6. Step 6: Final answer
    x = 300.04

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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.