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Finding the Fourth Proportional to 438.21, 652.46 and 411.48

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Solution

The fourth proportional to 438.21, 652.46 and 411.48 is: 612.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.21 : 652.46 = 411.48 : x
  2. Step 2: Convert to fraction form
    438.21/652.46 = 411.48/x
  3. Step 3: Cross multiply
    438.21x = 652.46 × 411.48
  4. Step 4: Simplify right side
    438.21x = 268,472.18
  5. Step 5: Solve for x
    x = 268,472.18/438.21
  6. Step 6: Final answer
    x = 612.66

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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.