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Finding the Fourth Proportional to 500.28, 689.11 and 421.51

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Solution

The fourth proportional to 500.28, 689.11 and 421.51 is: 580.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.28 : 689.11 = 421.51 : x
  2. Step 2: Convert to fraction form
    500.28/689.11 = 421.51/x
  3. Step 3: Cross multiply
    500.28x = 689.11 × 421.51
  4. Step 4: Simplify right side
    500.28x = 290,464.65
  5. Step 5: Solve for x
    x = 290,464.65/500.28
  6. Step 6: Final answer
    x = 580.60

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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.