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Finding the Fourth Proportional to 686.84, 1,030.23 and 173.84

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Solution

The fourth proportional to 686.84, 1,030.23 and 173.84 is: 260.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.84 : 1,030.23 = 173.84 : x
  2. Step 2: Convert to fraction form
    686.84/1,030.23 = 173.84/x
  3. Step 3: Cross multiply
    686.84x = 1,030.23 × 173.84
  4. Step 4: Simplify right side
    686.84x = 179,090.03
  5. Step 5: Solve for x
    x = 179,090.03/686.84
  6. Step 6: Final answer
    x = 260.75

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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.