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Finding the Fourth Proportional to 1,079.28, 1,482.24 and 904.32

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Solution

The fourth proportional to 1,079.28, 1,482.24 and 904.32 is: 1,241.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.28 : 1,482.24 = 904.32 : x
  2. Step 2: Convert to fraction form
    1,079.28/1,482.24 = 904.32/x
  3. Step 3: Cross multiply
    1,079.28x = 1,482.24 × 904.32
  4. Step 4: Simplify right side
    1,079.28x = 1,340,419.28
  5. Step 5: Solve for x
    x = 1,340,419.28/1,079.28
  6. Step 6: Final answer
    x = 1,241.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.