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Finding the Fourth Proportional to 730.71, 1,095.84 and 297.81

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Solution

The fourth proportional to 730.71, 1,095.84 and 297.81 is: 446.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.71 : 1,095.84 = 297.81 : x
  2. Step 2: Convert to fraction form
    730.71/1,095.84 = 297.81/x
  3. Step 3: Cross multiply
    730.71x = 1,095.84 × 297.81
  4. Step 4: Simplify right side
    730.71x = 326,352.11
  5. Step 5: Solve for x
    x = 326,352.11/730.71
  6. Step 6: Final answer
    x = 446.62

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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.