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Finding the Fourth Proportional to 489.40, 730.56 and 416.48

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Solution

The fourth proportional to 489.40, 730.56 and 416.48 is: 621.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.40 : 730.56 = 416.48 : x
  2. Step 2: Convert to fraction form
    489.40/730.56 = 416.48/x
  3. Step 3: Cross multiply
    489.40x = 730.56 × 416.48
  4. Step 4: Simplify right side
    489.40x = 304,263.63
  5. Step 5: Solve for x
    x = 304,263.63/489.40
  6. Step 6: Final answer
    x = 621.71

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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.