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Finding the Fourth Proportional to 472.07, 711.60 and 431.06

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Solution

The fourth proportional to 472.07, 711.60 and 431.06 is: 649.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.07 : 711.60 = 431.06 : x
  2. Step 2: Convert to fraction form
    472.07/711.60 = 431.06/x
  3. Step 3: Cross multiply
    472.07x = 711.60 × 431.06
  4. Step 4: Simplify right side
    472.07x = 306,738.74
  5. Step 5: Solve for x
    x = 306,738.74/472.07
  6. Step 6: Final answer
    x = 649.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.