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Finding the Fourth Proportional to 490.12, 730.61 and 469.60

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Solution

The fourth proportional to 490.12, 730.61 and 469.60 is: 700.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.12 : 730.61 = 469.60 : x
  2. Step 2: Convert to fraction form
    490.12/730.61 = 469.60/x
  3. Step 3: Cross multiply
    490.12x = 730.61 × 469.60
  4. Step 4: Simplify right side
    490.12x = 343,094.46
  5. Step 5: Solve for x
    x = 343,094.46/490.12
  6. Step 6: Final answer
    x = 700.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.