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Finding the Fourth Proportional to 472.02, 707.49 and 310.02

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Solution

The fourth proportional to 472.02, 707.49 and 310.02 is: 464.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.02 : 707.49 = 310.02 : x
  2. Step 2: Convert to fraction form
    472.02/707.49 = 310.02/x
  3. Step 3: Cross multiply
    472.02x = 707.49 × 310.02
  4. Step 4: Simplify right side
    472.02x = 219,336.05
  5. Step 5: Solve for x
    x = 219,336.05/472.02
  6. Step 6: Final answer
    x = 464.68

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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.