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Finding the Fourth Proportional to 1,405.68, 1,939.95 and 816

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Solution

The fourth proportional to 1,405.68, 1,939.95 and 816 is: 1,126.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.68 : 1,939.95 = 816 : x
  2. Step 2: Convert to fraction form
    1,405.68/1,939.95 = 816/x
  3. Step 3: Cross multiply
    1,405.68x = 1,939.95 × 816
  4. Step 4: Simplify right side
    1,405.68x = 1,582,999.20
  5. Step 5: Solve for x
    x = 1,582,999.20/1,405.68
  6. Step 6: Final answer
    x = 1,126.14

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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.