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Finding the Fourth Proportional to 686.84, 1,030.45 and 248.14

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Solution

The fourth proportional to 686.84, 1,030.45 and 248.14 is: 372.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.84 : 1,030.45 = 248.14 : x
  2. Step 2: Convert to fraction form
    686.84/1,030.45 = 248.14/x
  3. Step 3: Cross multiply
    686.84x = 1,030.45 × 248.14
  4. Step 4: Simplify right side
    686.84x = 255,694.62
  5. Step 5: Solve for x
    x = 255,694.62/686.84
  6. Step 6: Final answer
    x = 372.28

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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.