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Finding the Fourth Proportional to 730.45, 1,008.09 and 469.21

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Solution

The fourth proportional to 730.45, 1,008.09 and 469.21 is: 647.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.45 : 1,008.09 = 469.21 : x
  2. Step 2: Convert to fraction form
    730.45/1,008.09 = 469.21/x
  3. Step 3: Cross multiply
    730.45x = 1,008.09 × 469.21
  4. Step 4: Simplify right side
    730.45x = 473,005.91
  5. Step 5: Solve for x
    x = 473,005.91/730.45
  6. Step 6: Final answer
    x = 647.55

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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.