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Finding the Fourth Proportional to 730.86, 1,008.34 and 468.82

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Solution

The fourth proportional to 730.86, 1,008.34 and 468.82 is: 646.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.86 : 1,008.34 = 468.82 : x
  2. Step 2: Convert to fraction form
    730.86/1,008.34 = 468.82/x
  3. Step 3: Cross multiply
    730.86x = 1,008.34 × 468.82
  4. Step 4: Simplify right side
    730.86x = 472,729.96
  5. Step 5: Solve for x
    x = 472,729.96/730.86
  6. Step 6: Final answer
    x = 646.81

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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.