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Finding the Fourth Proportional to 730.02, 1,007.19 and 496.74

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Solution

The fourth proportional to 730.02, 1,007.19 and 496.74 is: 685.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.02 : 1,007.19 = 496.74 : x
  2. Step 2: Convert to fraction form
    730.02/1,007.19 = 496.74/x
  3. Step 3: Cross multiply
    730.02x = 1,007.19 × 496.74
  4. Step 4: Simplify right side
    730.02x = 500,311.56
  5. Step 5: Solve for x
    x = 500,311.56/730.02
  6. Step 6: Final answer
    x = 685.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.