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Finding the Fourth Proportional to 497.79, 686.34 and 442.35

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Solution

The fourth proportional to 497.79, 686.34 and 442.35 is: 609.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.79 : 686.34 = 442.35 : x
  2. Step 2: Convert to fraction form
    497.79/686.34 = 442.35/x
  3. Step 3: Cross multiply
    497.79x = 686.34 × 442.35
  4. Step 4: Simplify right side
    497.79x = 303,602.50
  5. Step 5: Solve for x
    x = 303,602.50/497.79
  6. Step 6: Final answer
    x = 609.90

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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.