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Finding the Fourth Proportional to 489.48, 732.84 and 391.48

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Solution

The fourth proportional to 489.48, 732.84 and 391.48 is: 586.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.48 : 732.84 = 391.48 : x
  2. Step 2: Convert to fraction form
    489.48/732.84 = 391.48/x
  3. Step 3: Cross multiply
    489.48x = 732.84 × 391.48
  4. Step 4: Simplify right side
    489.48x = 286,892.20
  5. Step 5: Solve for x
    x = 286,892.20/489.48
  6. Step 6: Final answer
    x = 586.12

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