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Finding the Fourth Proportional to 686.73, 1,029.75 and 339.95

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Solution

The fourth proportional to 686.73, 1,029.75 and 339.95 is: 509.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.73 : 1,029.75 = 339.95 : x
  2. Step 2: Convert to fraction form
    686.73/1,029.75 = 339.95/x
  3. Step 3: Cross multiply
    686.73x = 1,029.75 × 339.95
  4. Step 4: Simplify right side
    686.73x = 350,058.36
  5. Step 5: Solve for x
    x = 350,058.36/686.73
  6. Step 6: Final answer
    x = 509.75

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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.