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Finding the Fourth Proportional to 415, 623.04 and 386.47

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Solution

The fourth proportional to 415, 623.04 and 386.47 is: 580.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    415 : 623.04 = 386.47 : x
  2. Step 2: Convert to fraction form
    415/623.04 = 386.47/x
  3. Step 3: Cross multiply
    415x = 623.04 × 386.47
  4. Step 4: Simplify right side
    415x = 240,786.27
  5. Step 5: Solve for x
    x = 240,786.27/415
  6. Step 6: Final answer
    x = 580.21

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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.