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Finding the Fourth Proportional to 468.84, 705.36 and 286.44

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Solution

The fourth proportional to 468.84, 705.36 and 286.44 is: 430.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.84 : 705.36 = 286.44 : x
  2. Step 2: Convert to fraction form
    468.84/705.36 = 286.44/x
  3. Step 3: Cross multiply
    468.84x = 705.36 × 286.44
  4. Step 4: Simplify right side
    468.84x = 202,043.32
  5. Step 5: Solve for x
    x = 202,043.32/468.84
  6. Step 6: Final answer
    x = 430.94

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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.