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Finding the Fourth Proportional to 1,405.66, 1,939.80 and 776.18

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Solution

The fourth proportional to 1,405.66, 1,939.80 and 776.18 is: 1,071.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.66 : 1,939.80 = 776.18 : x
  2. Step 2: Convert to fraction form
    1,405.66/1,939.80 = 776.18/x
  3. Step 3: Cross multiply
    1,405.66x = 1,939.80 × 776.18
  4. Step 4: Simplify right side
    1,405.66x = 1,505,633.96
  5. Step 5: Solve for x
    x = 1,505,633.96/1,405.66
  6. Step 6: Final answer
    x = 1,071.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.