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Finding the Fourth Proportional to 489.64, 731.56 and 485.32

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Solution

The fourth proportional to 489.64, 731.56 and 485.32 is: 725.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.64 : 731.56 = 485.32 : x
  2. Step 2: Convert to fraction form
    489.64/731.56 = 485.32/x
  3. Step 3: Cross multiply
    489.64x = 731.56 × 485.32
  4. Step 4: Simplify right side
    489.64x = 355,040.70
  5. Step 5: Solve for x
    x = 355,040.70/489.64
  6. Step 6: Final answer
    x = 725.11

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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.