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Finding the Fourth Proportional to 730.31, 1,007.84 and 468.33

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Solution

The fourth proportional to 730.31, 1,007.84 and 468.33 is: 646.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.31 : 1,007.84 = 468.33 : x
  2. Step 2: Convert to fraction form
    730.31/1,007.84 = 468.33/x
  3. Step 3: Cross multiply
    730.31x = 1,007.84 × 468.33
  4. Step 4: Simplify right side
    730.31x = 471,999.37
  5. Step 5: Solve for x
    x = 471,999.37/730.31
  6. Step 6: Final answer
    x = 646.30

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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.