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Finding the Fourth Proportional to 415.93, 623.90 and 386.77

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Solution

The fourth proportional to 415.93, 623.90 and 386.77 is: 580.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.93 : 623.90 = 386.77 : x
  2. Step 2: Convert to fraction form
    415.93/623.90 = 386.77/x
  3. Step 3: Cross multiply
    415.93x = 623.90 × 386.77
  4. Step 4: Simplify right side
    415.93x = 241,305.80
  5. Step 5: Solve for x
    x = 241,305.80/415.93
  6. Step 6: Final answer
    x = 580.16

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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.