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Finding the Fourth Proportional to 730.40, 1,095.12 and 297.12

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Solution

The fourth proportional to 730.40, 1,095.12 and 297.12 is: 445.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.40 : 1,095.12 = 297.12 : x
  2. Step 2: Convert to fraction form
    730.40/1,095.12 = 297.12/x
  3. Step 3: Cross multiply
    730.40x = 1,095.12 × 297.12
  4. Step 4: Simplify right side
    730.40x = 325,382.05
  5. Step 5: Solve for x
    x = 325,382.05/730.40
  6. Step 6: Final answer
    x = 445.48

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Double scale
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1.5x scale

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.