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Finding the Fourth Proportional to 497.63, 687.10 and 350.46

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Solution

The fourth proportional to 497.63, 687.10 and 350.46 is: 483.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.63 : 687.10 = 350.46 : x
  2. Step 2: Convert to fraction form
    497.63/687.10 = 350.46/x
  3. Step 3: Cross multiply
    497.63x = 687.10 × 350.46
  4. Step 4: Simplify right side
    497.63x = 240,801.07
  5. Step 5: Solve for x
    x = 240,801.07/497.63
  6. Step 6: Final answer
    x = 483.90

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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.