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Finding the Fourth Proportional to 506.23, 760.02 and 489.83

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Solution

The fourth proportional to 506.23, 760.02 and 489.83 is: 735.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.23 : 760.02 = 489.83 : x
  2. Step 2: Convert to fraction form
    506.23/760.02 = 489.83/x
  3. Step 3: Cross multiply
    506.23x = 760.02 × 489.83
  4. Step 4: Simplify right side
    506.23x = 372,274.96
  5. Step 5: Solve for x
    x = 372,274.96/506.23
  6. Step 6: Final answer
    x = 735.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.