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Finding the Fourth Proportional to 472.02, 707.94 and 125.36

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Solution

The fourth proportional to 472.02, 707.94 and 125.36 is: 188.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.02 : 707.94 = 125.36 : x
  2. Step 2: Convert to fraction form
    472.02/707.94 = 125.36/x
  3. Step 3: Cross multiply
    472.02x = 707.94 × 125.36
  4. Step 4: Simplify right side
    472.02x = 88,744.29
  5. Step 5: Solve for x
    x = 88,744.29/472.02
  6. Step 6: Final answer
    x = 188.01

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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.