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Finding the Fourth Proportional to 487.93, 730.46 and 304.77

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Solution

The fourth proportional to 487.93, 730.46 and 304.77 is: 456.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.93 : 730.46 = 304.77 : x
  2. Step 2: Convert to fraction form
    487.93/730.46 = 304.77/x
  3. Step 3: Cross multiply
    487.93x = 730.46 × 304.77
  4. Step 4: Simplify right side
    487.93x = 222,618.94
  5. Step 5: Solve for x
    x = 222,618.94/487.93
  6. Step 6: Final answer
    x = 456.25

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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.