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Finding the Fourth Proportional to 472.28, 648.19 and 433.40

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Solution

The fourth proportional to 472.28, 648.19 and 433.40 is: 594.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.28 : 648.19 = 433.40 : x
  2. Step 2: Convert to fraction form
    472.28/648.19 = 433.40/x
  3. Step 3: Cross multiply
    472.28x = 648.19 × 433.40
  4. Step 4: Simplify right side
    472.28x = 280,925.55
  5. Step 5: Solve for x
    x = 280,925.55/472.28
  6. Step 6: Final answer
    x = 594.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.