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Finding the Fourth Proportional to 684.49, 944.56 and 385.74

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Solution

The fourth proportional to 684.49, 944.56 and 385.74 is: 532.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.49 : 944.56 = 385.74 : x
  2. Step 2: Convert to fraction form
    684.49/944.56 = 385.74/x
  3. Step 3: Cross multiply
    684.49x = 944.56 × 385.74
  4. Step 4: Simplify right side
    684.49x = 364,354.57
  5. Step 5: Solve for x
    x = 364,354.57/684.49
  6. Step 6: Final answer
    x = 532.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.