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Finding the Fourth Proportional to 430.56, 589.56 and 427.68

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Solution

The fourth proportional to 430.56, 589.56 and 427.68 is: 585.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.56 : 589.56 = 427.68 : x
  2. Step 2: Convert to fraction form
    430.56/589.56 = 427.68/x
  3. Step 3: Cross multiply
    430.56x = 589.56 × 427.68
  4. Step 4: Simplify right side
    430.56x = 252,143.02
  5. Step 5: Solve for x
    x = 252,143.02/430.56
  6. Step 6: Final answer
    x = 585.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.