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Finding the Fourth Proportional to 472.75, 705.01 and 420.31

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Solution

The fourth proportional to 472.75, 705.01 and 420.31 is: 626.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.75 : 705.01 = 420.31 : x
  2. Step 2: Convert to fraction form
    472.75/705.01 = 420.31/x
  3. Step 3: Cross multiply
    472.75x = 705.01 × 420.31
  4. Step 4: Simplify right side
    472.75x = 296,322.75
  5. Step 5: Solve for x
    x = 296,322.75/472.75
  6. Step 6: Final answer
    x = 626.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.