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Finding the Fourth Proportional to 454, 622.46 and 424.72

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Solution

The fourth proportional to 454, 622.46 and 424.72 is: 582.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    454 : 622.46 = 424.72 : x
  2. Step 2: Convert to fraction form
    454/622.46 = 424.72/x
  3. Step 3: Cross multiply
    454x = 622.46 × 424.72
  4. Step 4: Simplify right side
    454x = 264,371.21
  5. Step 5: Solve for x
    x = 264,371.21/454
  6. Step 6: Final answer
    x = 582.32

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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.