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Finding the Fourth Proportional to 472.41, 710.01 and 311.13

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Solution

The fourth proportional to 472.41, 710.01 and 311.13 is: 467.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.41 : 710.01 = 311.13 : x
  2. Step 2: Convert to fraction form
    472.41/710.01 = 311.13/x
  3. Step 3: Cross multiply
    472.41x = 710.01 × 311.13
  4. Step 4: Simplify right side
    472.41x = 220,905.41
  5. Step 5: Solve for x
    x = 220,905.41/472.41
  6. Step 6: Final answer
    x = 467.61

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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.