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Finding the Fourth Proportional to 472.90, 652.61 and 286.35

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Solution

The fourth proportional to 472.90, 652.61 and 286.35 is: 395.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.90 : 652.61 = 286.35 : x
  2. Step 2: Convert to fraction form
    472.90/652.61 = 286.35/x
  3. Step 3: Cross multiply
    472.90x = 652.61 × 286.35
  4. Step 4: Simplify right side
    472.90x = 186,874.87
  5. Step 5: Solve for x
    x = 186,874.87/472.90
  6. Step 6: Final answer
    x = 395.17

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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.