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Finding the Fourth Proportional to 472.29, 652.04 and 285.85

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Solution

The fourth proportional to 472.29, 652.04 and 285.85 is: 394.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.29 : 652.04 = 285.85 : x
  2. Step 2: Convert to fraction form
    472.29/652.04 = 285.85/x
  3. Step 3: Cross multiply
    472.29x = 652.04 × 285.85
  4. Step 4: Simplify right side
    472.29x = 186,385.63
  5. Step 5: Solve for x
    x = 186,385.63/472.29
  6. Step 6: Final answer
    x = 394.64

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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.