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Finding the Fourth Proportional to 450.56, 620.80 and 430.08

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Solution

The fourth proportional to 450.56, 620.80 and 430.08 is: 592.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.56 : 620.80 = 430.08 : x
  2. Step 2: Convert to fraction form
    450.56/620.80 = 430.08/x
  3. Step 3: Cross multiply
    450.56x = 620.80 × 430.08
  4. Step 4: Simplify right side
    450.56x = 266,993.66
  5. Step 5: Solve for x
    x = 266,993.66/450.56
  6. Step 6: Final answer
    x = 592.58

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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.