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Finding the Fourth Proportional to 497.96, 686.80 and 442.00

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Solution

The fourth proportional to 497.96, 686.80 and 442.00 is: 609.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.96 : 686.80 = 442.00 : x
  2. Step 2: Convert to fraction form
    497.96/686.80 = 442.00/x
  3. Step 3: Cross multiply
    497.96x = 686.80 × 442.00
  4. Step 4: Simplify right side
    497.96x = 303,562.78
  5. Step 5: Solve for x
    x = 303,562.78/497.96
  6. Step 6: Final answer
    x = 609.62

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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.