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Finding the Fourth Proportional to 489.64, 733.77 and 386.47

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Solution

The fourth proportional to 489.64, 733.77 and 386.47 is: 579.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.64 : 733.77 = 386.47 : x
  2. Step 2: Convert to fraction form
    489.64/733.77 = 386.47/x
  3. Step 3: Cross multiply
    489.64x = 733.77 × 386.47
  4. Step 4: Simplify right side
    489.64x = 283,580.09
  5. Step 5: Solve for x
    x = 283,580.09/489.64
  6. Step 6: Final answer
    x = 579.16

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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.