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Finding the Fourth Proportional to 472.64, 706.32 and 446.31

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Solution

The fourth proportional to 472.64, 706.32 and 446.31 is: 666.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.64 : 706.32 = 446.31 : x
  2. Step 2: Convert to fraction form
    472.64/706.32 = 446.31/x
  3. Step 3: Cross multiply
    472.64x = 706.32 × 446.31
  4. Step 4: Simplify right side
    472.64x = 315,237.68
  5. Step 5: Solve for x
    x = 315,237.68/472.64
  6. Step 6: Final answer
    x = 666.98

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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.