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Finding the Fourth Proportional to 665.79, 1,002.55 and 493.68

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Solution

The fourth proportional to 665.79, 1,002.55 and 493.68 is: 743.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.79 : 1,002.55 = 493.68 : x
  2. Step 2: Convert to fraction form
    665.79/1,002.55 = 493.68/x
  3. Step 3: Cross multiply
    665.79x = 1,002.55 × 493.68
  4. Step 4: Simplify right side
    665.79x = 494,933.89
  5. Step 5: Solve for x
    x = 494,933.89/665.79
  6. Step 6: Final answer
    x = 743.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.