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Finding the Fourth Proportional to 469.94, 703.89 and 286.78

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Solution

The fourth proportional to 469.94, 703.89 and 286.78 is: 429.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.94 : 703.89 = 286.78 : x
  2. Step 2: Convert to fraction form
    469.94/703.89 = 286.78/x
  3. Step 3: Cross multiply
    469.94x = 703.89 × 286.78
  4. Step 4: Simplify right side
    469.94x = 201,863.11
  5. Step 5: Solve for x
    x = 201,863.11/469.94
  6. Step 6: Final answer
    x = 429.55

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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.