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Finding the Fourth Proportional to 684.04, 1,026.38 and 342.04

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Solution

The fourth proportional to 684.04, 1,026.38 and 342.04 is: 513.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.04 : 1,026.38 = 342.04 : x
  2. Step 2: Convert to fraction form
    684.04/1,026.38 = 342.04/x
  3. Step 3: Cross multiply
    684.04x = 1,026.38 × 342.04
  4. Step 4: Simplify right side
    684.04x = 351,063.02
  5. Step 5: Solve for x
    x = 351,063.02/684.04
  6. Step 6: Final answer
    x = 513.22

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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.