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Finding the Fourth Proportional to 415.52, 619.86 and 386.06

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Solution

The fourth proportional to 415.52, 619.86 and 386.06 is: 575.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.52 : 619.86 = 386.06 : x
  2. Step 2: Convert to fraction form
    415.52/619.86 = 386.06/x
  3. Step 3: Cross multiply
    415.52x = 619.86 × 386.06
  4. Step 4: Simplify right side
    415.52x = 239,303.15
  5. Step 5: Solve for x
    x = 239,303.15/415.52
  6. Step 6: Final answer
    x = 575.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.