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Finding the Fourth Proportional to 730.20, 1,095.61 and 365.10

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Solution

The fourth proportional to 730.20, 1,095.61 and 365.10 is: 547.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.20 : 1,095.61 = 365.10 : x
  2. Step 2: Convert to fraction form
    730.20/1,095.61 = 365.10/x
  3. Step 3: Cross multiply
    730.20x = 1,095.61 × 365.10
  4. Step 4: Simplify right side
    730.20x = 400,007.21
  5. Step 5: Solve for x
    x = 400,007.21/730.20
  6. Step 6: Final answer
    x = 547.81

Related Problems

Find fourth proportional to 365.10, 547.81 and 182.55
Half scale
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Double scale
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Similar ratio
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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.