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Finding the Fourth Proportional to 489.49, 730.44 and 437.56

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Solution

The fourth proportional to 489.49, 730.44 and 437.56 is: 652.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.49 : 730.44 = 437.56 : x
  2. Step 2: Convert to fraction form
    489.49/730.44 = 437.56/x
  3. Step 3: Cross multiply
    489.49x = 730.44 × 437.56
  4. Step 4: Simplify right side
    489.49x = 319,611.33
  5. Step 5: Solve for x
    x = 319,611.33/489.49
  6. Step 6: Final answer
    x = 652.95

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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.