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Finding the Fourth Proportional to 472.12, 651.45 and 297.70

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Solution

The fourth proportional to 472.12, 651.45 and 297.70 is: 410.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.12 : 651.45 = 297.70 : x
  2. Step 2: Convert to fraction form
    472.12/651.45 = 297.70/x
  3. Step 3: Cross multiply
    472.12x = 651.45 × 297.70
  4. Step 4: Simplify right side
    472.12x = 193,936.67
  5. Step 5: Solve for x
    x = 193,936.67/472.12
  6. Step 6: Final answer
    x = 410.78

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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.