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Finding the Fourth Proportional to 1,185.19, 1,776.71 and 405.05

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Solution

The fourth proportional to 1,185.19, 1,776.71 and 405.05 is: 607.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.19 : 1,776.71 = 405.05 : x
  2. Step 2: Convert to fraction form
    1,185.19/1,776.71 = 405.05/x
  3. Step 3: Cross multiply
    1,185.19x = 1,776.71 × 405.05
  4. Step 4: Simplify right side
    1,185.19x = 719,657.37
  5. Step 5: Solve for x
    x = 719,657.37/1,185.19
  6. Step 6: Final answer
    x = 607.21

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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.