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Finding the Fourth Proportional to 472.92, 652.40 and 286.40

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Solution

The fourth proportional to 472.92, 652.40 and 286.40 is: 395.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.92 : 652.40 = 286.40 : x
  2. Step 2: Convert to fraction form
    472.92/652.40 = 286.40/x
  3. Step 3: Cross multiply
    472.92x = 652.40 × 286.40
  4. Step 4: Simplify right side
    472.92x = 186,847.36
  5. Step 5: Solve for x
    x = 186,847.36/472.92
  6. Step 6: Final answer
    x = 395.09

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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.