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Finding the Fourth Proportional to 1,185, 1,777.53 and 415.50

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Solution

The fourth proportional to 1,185, 1,777.53 and 415.50 is: 623.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185 : 1,777.53 = 415.50 : x
  2. Step 2: Convert to fraction form
    1,185/1,777.53 = 415.50/x
  3. Step 3: Cross multiply
    1,185x = 1,777.53 × 415.50
  4. Step 4: Simplify right side
    1,185x = 738,563.72
  5. Step 5: Solve for x
    x = 738,563.72/1,185
  6. Step 6: Final answer
    x = 623.26

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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.