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Finding the Fourth Proportional to 684.92, 1,024.85 and 377.07

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Solution

The fourth proportional to 684.92, 1,024.85 and 377.07 is: 564.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.92 : 1,024.85 = 377.07 : x
  2. Step 2: Convert to fraction form
    684.92/1,024.85 = 377.07/x
  3. Step 3: Cross multiply
    684.92x = 1,024.85 × 377.07
  4. Step 4: Simplify right side
    684.92x = 386,438.30
  5. Step 5: Solve for x
    x = 386,438.30/684.92
  6. Step 6: Final answer
    x = 564.21

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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.