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Finding the Fourth Proportional to 1,405.69, 1,939.85 and 816.58

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Solution

The fourth proportional to 1,405.69, 1,939.85 and 816.58 is: 1,126.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.69 : 1,939.85 = 816.58 : x
  2. Step 2: Convert to fraction form
    1,405.69/1,939.85 = 816.58/x
  3. Step 3: Cross multiply
    1,405.69x = 1,939.85 × 816.58
  4. Step 4: Simplify right side
    1,405.69x = 1,584,044.12
  5. Step 5: Solve for x
    x = 1,584,044.12/1,405.69
  6. Step 6: Final answer
    x = 1,126.88

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