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Finding the Fourth Proportional to 427.93, 589.50 and 372.57

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Solution

The fourth proportional to 427.93, 589.50 and 372.57 is: 513.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.93 : 589.50 = 372.57 : x
  2. Step 2: Convert to fraction form
    427.93/589.50 = 372.57/x
  3. Step 3: Cross multiply
    427.93x = 589.50 × 372.57
  4. Step 4: Simplify right side
    427.93x = 219,630.02
  5. Step 5: Solve for x
    x = 219,630.02/427.93
  6. Step 6: Final answer
    x = 513.24

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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.