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Finding the Fourth Proportional to 730.33, 1,095.78 and 340.51

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Solution

The fourth proportional to 730.33, 1,095.78 and 340.51 is: 510.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.33 : 1,095.78 = 340.51 : x
  2. Step 2: Convert to fraction form
    730.33/1,095.78 = 340.51/x
  3. Step 3: Cross multiply
    730.33x = 1,095.78 × 340.51
  4. Step 4: Simplify right side
    730.33x = 373,124.05
  5. Step 5: Solve for x
    x = 373,124.05/730.33
  6. Step 6: Final answer
    x = 510.90

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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.