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Finding the Fourth Proportional to 486.65, 730.87 and 467.08

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Solution

The fourth proportional to 486.65, 730.87 and 467.08 is: 701.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.65 : 730.87 = 467.08 : x
  2. Step 2: Convert to fraction form
    486.65/730.87 = 467.08/x
  3. Step 3: Cross multiply
    486.65x = 730.87 × 467.08
  4. Step 4: Simplify right side
    486.65x = 341,371.76
  5. Step 5: Solve for x
    x = 341,371.76/486.65
  6. Step 6: Final answer
    x = 701.47

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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.