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Finding the Fourth Proportional to 730.48, 1,095.14 and 365.08

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Solution

The fourth proportional to 730.48, 1,095.14 and 365.08 is: 547.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.48 : 1,095.14 = 365.08 : x
  2. Step 2: Convert to fraction form
    730.48/1,095.14 = 365.08/x
  3. Step 3: Cross multiply
    730.48x = 1,095.14 × 365.08
  4. Step 4: Simplify right side
    730.48x = 399,813.71
  5. Step 5: Solve for x
    x = 399,813.71/730.48
  6. Step 6: Final answer
    x = 547.33

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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.