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Finding the Fourth Proportional to 472.37, 652.17 and 307.05

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Solution

The fourth proportional to 472.37, 652.17 and 307.05 is: 423.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.37 : 652.17 = 307.05 : x
  2. Step 2: Convert to fraction form
    472.37/652.17 = 307.05/x
  3. Step 3: Cross multiply
    472.37x = 652.17 × 307.05
  4. Step 4: Simplify right side
    472.37x = 200,245.78
  5. Step 5: Solve for x
    x = 200,245.78/472.37
  6. Step 6: Final answer
    x = 423.92

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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.