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Finding the Fourth Proportional to 684.16, 1,026.34 and 359.55

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Solution

The fourth proportional to 684.16, 1,026.34 and 359.55 is: 539.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.16 : 1,026.34 = 359.55 : x
  2. Step 2: Convert to fraction form
    684.16/1,026.34 = 359.55/x
  3. Step 3: Cross multiply
    684.16x = 1,026.34 × 359.55
  4. Step 4: Simplify right side
    684.16x = 369,019.65
  5. Step 5: Solve for x
    x = 369,019.65/684.16
  6. Step 6: Final answer
    x = 539.38

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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.