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Finding the Fourth Proportional to 730.96, 1,009.40 and 469.43

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Solution

The fourth proportional to 730.96, 1,009.40 and 469.43 is: 648.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.96 : 1,009.40 = 469.43 : x
  2. Step 2: Convert to fraction form
    730.96/1,009.40 = 469.43/x
  3. Step 3: Cross multiply
    730.96x = 1,009.40 × 469.43
  4. Step 4: Simplify right side
    730.96x = 473,839.03
  5. Step 5: Solve for x
    x = 473,839.03/730.96
  6. Step 6: Final answer
    x = 648.24

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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.