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Finding the Fourth Proportional to 489.83, 732.10 and 450.92

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Solution

The fourth proportional to 489.83, 732.10 and 450.92 is: 673.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.83 : 732.10 = 450.92 : x
  2. Step 2: Convert to fraction form
    489.83/732.10 = 450.92/x
  3. Step 3: Cross multiply
    489.83x = 732.10 × 450.92
  4. Step 4: Simplify right side
    489.83x = 330,113.74
  5. Step 5: Solve for x
    x = 330,113.74/489.83
  6. Step 6: Final answer
    x = 673.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.