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Finding the Fourth Proportional to 686.95, 1,030.67 and 248.23

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Solution

The fourth proportional to 686.95, 1,030.67 and 248.23 is: 372.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.95 : 1,030.67 = 248.23 : x
  2. Step 2: Convert to fraction form
    686.95/1,030.67 = 248.23/x
  3. Step 3: Cross multiply
    686.95x = 1,030.67 × 248.23
  4. Step 4: Simplify right side
    686.95x = 255,845.59
  5. Step 5: Solve for x
    x = 255,845.59/686.95
  6. Step 6: Final answer
    x = 372.44

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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.