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Finding the Fourth Proportional to 1,164.36, 1,746.42 and 730.20

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Solution

The fourth proportional to 1,164.36, 1,746.42 and 730.20 is: 1,095.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.36 : 1,746.42 = 730.20 : x
  2. Step 2: Convert to fraction form
    1,164.36/1,746.42 = 730.20/x
  3. Step 3: Cross multiply
    1,164.36x = 1,746.42 × 730.20
  4. Step 4: Simplify right side
    1,164.36x = 1,275,235.88
  5. Step 5: Solve for x
    x = 1,275,235.88/1,164.36
  6. Step 6: Final answer
    x = 1,095.22

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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.