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Finding the Fourth Proportional to 472.74, 652.45 and 286.24

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Solution

The fourth proportional to 472.74, 652.45 and 286.24 is: 395.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.74 : 652.45 = 286.24 : x
  2. Step 2: Convert to fraction form
    472.74/652.45 = 286.24/x
  3. Step 3: Cross multiply
    472.74x = 652.45 × 286.24
  4. Step 4: Simplify right side
    472.74x = 186,757.29
  5. Step 5: Solve for x
    x = 186,757.29/472.74
  6. Step 6: Final answer
    x = 395.05

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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.