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Finding the Fourth Proportional to 491.73, 732.12 and 489.30

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Solution

The fourth proportional to 491.73, 732.12 and 489.30 is: 728.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.73 : 732.12 = 489.30 : x
  2. Step 2: Convert to fraction form
    491.73/732.12 = 489.30/x
  3. Step 3: Cross multiply
    491.73x = 732.12 × 489.30
  4. Step 4: Simplify right side
    491.73x = 358,226.32
  5. Step 5: Solve for x
    x = 358,226.32/491.73
  6. Step 6: Final answer
    x = 728.50

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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.