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Finding the Fourth Proportional to 472.32, 651.84 and 297.84

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Solution

The fourth proportional to 472.32, 651.84 and 297.84 is: 411.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.32 : 651.84 = 297.84 : x
  2. Step 2: Convert to fraction form
    472.32/651.84 = 297.84/x
  3. Step 3: Cross multiply
    472.32x = 651.84 × 297.84
  4. Step 4: Simplify right side
    472.32x = 194,144.03
  5. Step 5: Solve for x
    x = 194,144.03/472.32
  6. Step 6: Final answer
    x = 411.04

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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.