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Finding the Fourth Proportional to 684.16, 1,025.80 and 319.06

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Solution

The fourth proportional to 684.16, 1,025.80 and 319.06 is: 478.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.16 : 1,025.80 = 319.06 : x
  2. Step 2: Convert to fraction form
    684.16/1,025.80 = 319.06/x
  3. Step 3: Cross multiply
    684.16x = 1,025.80 × 319.06
  4. Step 4: Simplify right side
    684.16x = 327,291.75
  5. Step 5: Solve for x
    x = 327,291.75/684.16
  6. Step 6: Final answer
    x = 478.38

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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.