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Finding the Fourth Proportional to 487.33, 730.05 and 485.71

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Solution

The fourth proportional to 487.33, 730.05 and 485.71 is: 727.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.33 : 730.05 = 485.71 : x
  2. Step 2: Convert to fraction form
    487.33/730.05 = 485.71/x
  3. Step 3: Cross multiply
    487.33x = 730.05 × 485.71
  4. Step 4: Simplify right side
    487.33x = 354,592.59
  5. Step 5: Solve for x
    x = 354,592.59/487.33
  6. Step 6: Final answer
    x = 727.62

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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.