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Finding the Fourth Proportional to 497.53, 687.32 and 393.31

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Solution

The fourth proportional to 497.53, 687.32 and 393.31 is: 543.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.53 : 687.32 = 393.31 : x
  2. Step 2: Convert to fraction form
    497.53/687.32 = 393.31/x
  3. Step 3: Cross multiply
    497.53x = 687.32 × 393.31
  4. Step 4: Simplify right side
    497.53x = 270,329.83
  5. Step 5: Solve for x
    x = 270,329.83/497.53
  6. Step 6: Final answer
    x = 543.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.