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Finding the Fourth Proportional to 607.60, 838.64 and 489.12

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Solution

The fourth proportional to 607.60, 838.64 and 489.12 is: 675.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.60 : 838.64 = 489.12 : x
  2. Step 2: Convert to fraction form
    607.60/838.64 = 489.12/x
  3. Step 3: Cross multiply
    607.60x = 838.64 × 489.12
  4. Step 4: Simplify right side
    607.60x = 410,195.60
  5. Step 5: Solve for x
    x = 410,195.60/607.60
  6. Step 6: Final answer
    x = 675.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.