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Finding the Fourth Proportional to 468.32, 642.47 and 440.37

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Solution

The fourth proportional to 468.32, 642.47 and 440.37 is: 604.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.32 : 642.47 = 440.37 : x
  2. Step 2: Convert to fraction form
    468.32/642.47 = 440.37/x
  3. Step 3: Cross multiply
    468.32x = 642.47 × 440.37
  4. Step 4: Simplify right side
    468.32x = 282,922.31
  5. Step 5: Solve for x
    x = 282,922.31/468.32
  6. Step 6: Final answer
    x = 604.13

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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.