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Finding the Fourth Proportional to 438.53, 660.17 and 400.26

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Solution

The fourth proportional to 438.53, 660.17 and 400.26 is: 602.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.53 : 660.17 = 400.26 : x
  2. Step 2: Convert to fraction form
    438.53/660.17 = 400.26/x
  3. Step 3: Cross multiply
    438.53x = 660.17 × 400.26
  4. Step 4: Simplify right side
    438.53x = 264,236.67
  5. Step 5: Solve for x
    x = 264,236.67/438.53
  6. Step 6: Final answer
    x = 602.55

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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.