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Finding the Fourth Proportional to 433.57, 598.86 and 427.09

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Solution

The fourth proportional to 433.57, 598.86 and 427.09 is: 589.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.57 : 598.86 = 427.09 : x
  2. Step 2: Convert to fraction form
    433.57/598.86 = 427.09/x
  3. Step 3: Cross multiply
    433.57x = 598.86 × 427.09
  4. Step 4: Simplify right side
    433.57x = 255,767.12
  5. Step 5: Solve for x
    x = 255,767.12/433.57
  6. Step 6: Final answer
    x = 589.91

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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.