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Finding the Fourth Proportional to 686.02, 1,029.94 and 378.02

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Solution

The fourth proportional to 686.02, 1,029.94 and 378.02 is: 567.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.02 : 1,029.94 = 378.02 : x
  2. Step 2: Convert to fraction form
    686.02/1,029.94 = 378.02/x
  3. Step 3: Cross multiply
    686.02x = 1,029.94 × 378.02
  4. Step 4: Simplify right side
    686.02x = 389,334.82
  5. Step 5: Solve for x
    x = 389,334.82/686.02
  6. Step 6: Final answer
    x = 567.53

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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.