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Finding the Fourth Proportional to 730.60, 1,094.37 and 340.94

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Solution

The fourth proportional to 730.60, 1,094.37 and 340.94 is: 510.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.60 : 1,094.37 = 340.94 : x
  2. Step 2: Convert to fraction form
    730.60/1,094.37 = 340.94/x
  3. Step 3: Cross multiply
    730.60x = 1,094.37 × 340.94
  4. Step 4: Simplify right side
    730.60x = 373,109.04
  5. Step 5: Solve for x
    x = 373,109.04/730.60
  6. Step 6: Final answer
    x = 510.69

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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.