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Finding the Fourth Proportional to 730.13, 1,094.61 and 421.63

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Solution

The fourth proportional to 730.13, 1,094.61 and 421.63 is: 632.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.13 : 1,094.61 = 421.63 : x
  2. Step 2: Convert to fraction form
    730.13/1,094.61 = 421.63/x
  3. Step 3: Cross multiply
    730.13x = 1,094.61 × 421.63
  4. Step 4: Simplify right side
    730.13x = 461,520.41
  5. Step 5: Solve for x
    x = 461,520.41/730.13
  6. Step 6: Final answer
    x = 632.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.