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Finding the Fourth Proportional to 490.80, 740.10 and 433.20

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Solution

The fourth proportional to 490.80, 740.10 and 433.20 is: 653.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.80 : 740.10 = 433.20 : x
  2. Step 2: Convert to fraction form
    490.80/740.10 = 433.20/x
  3. Step 3: Cross multiply
    490.80x = 740.10 × 433.20
  4. Step 4: Simplify right side
    490.80x = 320,611.32
  5. Step 5: Solve for x
    x = 320,611.32/490.80
  6. Step 6: Final answer
    x = 653.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.