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Finding the Fourth Proportional to 683.39, 943.07 and 384.61

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Solution

The fourth proportional to 683.39, 943.07 and 384.61 is: 530.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.39 : 943.07 = 384.61 : x
  2. Step 2: Convert to fraction form
    683.39/943.07 = 384.61/x
  3. Step 3: Cross multiply
    683.39x = 943.07 × 384.61
  4. Step 4: Simplify right side
    683.39x = 362,711.80
  5. Step 5: Solve for x
    x = 362,711.80/683.39
  6. Step 6: Final answer
    x = 530.76

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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.