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Finding the Fourth Proportional to 497.83, 687.30 and 332.28

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Solution

The fourth proportional to 497.83, 687.30 and 332.28 is: 458.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.83 : 687.30 = 332.28 : x
  2. Step 2: Convert to fraction form
    497.83/687.30 = 332.28/x
  3. Step 3: Cross multiply
    497.83x = 687.30 × 332.28
  4. Step 4: Simplify right side
    497.83x = 228,376.04
  5. Step 5: Solve for x
    x = 228,376.04/497.83
  6. Step 6: Final answer
    x = 458.74

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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.