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Finding the Fourth Proportional to 472.67, 705.43 and 433.45

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Solution

The fourth proportional to 472.67, 705.43 and 433.45 is: 646.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.67 : 705.43 = 433.45 : x
  2. Step 2: Convert to fraction form
    472.67/705.43 = 433.45/x
  3. Step 3: Cross multiply
    472.67x = 705.43 × 433.45
  4. Step 4: Simplify right side
    472.67x = 305,768.63
  5. Step 5: Solve for x
    x = 305,768.63/472.67
  6. Step 6: Final answer
    x = 646.90

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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.