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Finding the Fourth Proportional to 472.61, 652.23 and 262.80

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Solution

The fourth proportional to 472.61, 652.23 and 262.80 is: 362.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.61 : 652.23 = 262.80 : x
  2. Step 2: Convert to fraction form
    472.61/652.23 = 262.80/x
  3. Step 3: Cross multiply
    472.61x = 652.23 × 262.80
  4. Step 4: Simplify right side
    472.61x = 171,405.89
  5. Step 5: Solve for x
    x = 171,405.89/472.61
  6. Step 6: Final answer
    x = 362.68

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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.