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Finding the Fourth Proportional to 684.73, 1,026.37 and 337.59

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Solution

The fourth proportional to 684.73, 1,026.37 and 337.59 is: 506.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.73 : 1,026.37 = 337.59 : x
  2. Step 2: Convert to fraction form
    684.73/1,026.37 = 337.59/x
  3. Step 3: Cross multiply
    684.73x = 1,026.37 × 337.59
  4. Step 4: Simplify right side
    684.73x = 346,492.25
  5. Step 5: Solve for x
    x = 346,492.25/684.73
  6. Step 6: Final answer
    x = 506.03

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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.