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Finding the Fourth Proportional to 1,395.75, 1,924.80 and 1,080.53

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Solution

The fourth proportional to 1,395.75, 1,924.80 and 1,080.53 is: 1,490.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.75 : 1,924.80 = 1,080.53 : x
  2. Step 2: Convert to fraction form
    1,395.75/1,924.80 = 1,080.53/x
  3. Step 3: Cross multiply
    1,395.75x = 1,924.80 × 1,080.53
  4. Step 4: Simplify right side
    1,395.75x = 2,079,804.14
  5. Step 5: Solve for x
    x = 2,079,804.14/1,395.75
  6. Step 6: Final answer
    x = 1,490.10

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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.