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Finding the Fourth Proportional to 472.50, 707.96 and 334.88

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Solution

The fourth proportional to 472.50, 707.96 and 334.88 is: 501.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.50 : 707.96 = 334.88 : x
  2. Step 2: Convert to fraction form
    472.50/707.96 = 334.88/x
  3. Step 3: Cross multiply
    472.50x = 707.96 × 334.88
  4. Step 4: Simplify right side
    472.50x = 237,081.64
  5. Step 5: Solve for x
    x = 237,081.64/472.50
  6. Step 6: Final answer
    x = 501.76

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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.