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Finding the Fourth Proportional to 1,078.64, 1,619.04 and 1,068.08

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Solution

The fourth proportional to 1,078.64, 1,619.04 and 1,068.08 is: 1,603.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.64 : 1,619.04 = 1,068.08 : x
  2. Step 2: Convert to fraction form
    1,078.64/1,619.04 = 1,068.08/x
  3. Step 3: Cross multiply
    1,078.64x = 1,619.04 × 1,068.08
  4. Step 4: Simplify right side
    1,078.64x = 1,729,264.24
  5. Step 5: Solve for x
    x = 1,729,264.24/1,078.64
  6. Step 6: Final answer
    x = 1,603.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.