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Finding the Fourth Proportional to 730.52, 1,094.51 and 340.10

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Solution

The fourth proportional to 730.52, 1,094.51 and 340.10 is: 509.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.52 : 1,094.51 = 340.10 : x
  2. Step 2: Convert to fraction form
    730.52/1,094.51 = 340.10/x
  3. Step 3: Cross multiply
    730.52x = 1,094.51 × 340.10
  4. Step 4: Simplify right side
    730.52x = 372,242.33
  5. Step 5: Solve for x
    x = 372,242.33/730.52
  6. Step 6: Final answer
    x = 509.56

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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.