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Finding the Fourth Proportional to 730.06, 1,007.01 and 491.19

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Solution

The fourth proportional to 730.06, 1,007.01 and 491.19 is: 677.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.06 : 1,007.01 = 491.19 : x
  2. Step 2: Convert to fraction form
    730.06/1,007.01 = 491.19/x
  3. Step 3: Cross multiply
    730.06x = 1,007.01 × 491.19
  4. Step 4: Simplify right side
    730.06x = 494,628.21
  5. Step 5: Solve for x
    x = 494,628.21/730.06
  6. Step 6: Final answer
    x = 677.52

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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.