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Finding the Fourth Proportional to 472.16, 705.60 and 423.96

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Solution

The fourth proportional to 472.16, 705.60 and 423.96 is: 633.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.16 : 705.60 = 423.96 : x
  2. Step 2: Convert to fraction form
    472.16/705.60 = 423.96/x
  3. Step 3: Cross multiply
    472.16x = 705.60 × 423.96
  4. Step 4: Simplify right side
    472.16x = 299,146.18
  5. Step 5: Solve for x
    x = 299,146.18/472.16
  6. Step 6: Final answer
    x = 633.57

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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.