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Finding the Fourth Proportional to 452.31, 620.48 and 424.35

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Solution

The fourth proportional to 452.31, 620.48 and 424.35 is: 582.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.31 : 620.48 = 424.35 : x
  2. Step 2: Convert to fraction form
    452.31/620.48 = 424.35/x
  3. Step 3: Cross multiply
    452.31x = 620.48 × 424.35
  4. Step 4: Simplify right side
    452.31x = 263,298.57
  5. Step 5: Solve for x
    x = 263,298.57/452.31
  6. Step 6: Final answer
    x = 582.12

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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.