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Finding the Fourth Proportional to 489.52, 734 and 359.60

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Solution

The fourth proportional to 489.52, 734 and 359.60 is: 539.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.52 : 734 = 359.60 : x
  2. Step 2: Convert to fraction form
    489.52/734 = 359.60/x
  3. Step 3: Cross multiply
    489.52x = 734 × 359.60
  4. Step 4: Simplify right side
    489.52x = 263,946.40
  5. Step 5: Solve for x
    x = 263,946.40/489.52
  6. Step 6: Final answer
    x = 539.19

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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.