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Finding the Fourth Proportional to 472.12, 707.67 and 307.38

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Solution

The fourth proportional to 472.12, 707.67 and 307.38 is: 460.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.12 : 707.67 = 307.38 : x
  2. Step 2: Convert to fraction form
    472.12/707.67 = 307.38/x
  3. Step 3: Cross multiply
    472.12x = 707.67 × 307.38
  4. Step 4: Simplify right side
    472.12x = 217,523.60
  5. Step 5: Solve for x
    x = 217,523.60/472.12
  6. Step 6: Final answer
    x = 460.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.