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Finding the Fourth Proportional to 1,185.86, 1,778.10 and 405.47

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Solution

The fourth proportional to 1,185.86, 1,778.10 and 405.47 is: 607.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.86 : 1,778.10 = 405.47 : x
  2. Step 2: Convert to fraction form
    1,185.86/1,778.10 = 405.47/x
  3. Step 3: Cross multiply
    1,185.86x = 1,778.10 × 405.47
  4. Step 4: Simplify right side
    1,185.86x = 720,957.32
  5. Step 5: Solve for x
    x = 720,957.32/1,185.86
  6. Step 6: Final answer
    x = 607.96

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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.