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Finding the Fourth Proportional to 472.82, 652.34 and 307.26

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Solution

The fourth proportional to 472.82, 652.34 and 307.26 is: 423.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.82 : 652.34 = 307.26 : x
  2. Step 2: Convert to fraction form
    472.82/652.34 = 307.26/x
  3. Step 3: Cross multiply
    472.82x = 652.34 × 307.26
  4. Step 4: Simplify right side
    472.82x = 200,437.99
  5. Step 5: Solve for x
    x = 200,437.99/472.82
  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.