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Finding the Fourth Proportional to 472.50, 712.14 and 446.04

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Solution

The fourth proportional to 472.50, 712.14 and 446.04 is: 672.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.50 : 712.14 = 446.04 : x
  2. Step 2: Convert to fraction form
    472.50/712.14 = 446.04/x
  3. Step 3: Cross multiply
    472.50x = 712.14 × 446.04
  4. Step 4: Simplify right side
    472.50x = 317,642.93
  5. Step 5: Solve for x
    x = 317,642.93/472.50
  6. Step 6: Final answer
    x = 672.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.