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Finding the Fourth Proportional to 552.28, 760.75 and 421.06

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Solution

The fourth proportional to 552.28, 760.75 and 421.06 is: 580.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.28 : 760.75 = 421.06 : x
  2. Step 2: Convert to fraction form
    552.28/760.75 = 421.06/x
  3. Step 3: Cross multiply
    552.28x = 760.75 × 421.06
  4. Step 4: Simplify right side
    552.28x = 320,321.40
  5. Step 5: Solve for x
    x = 320,321.40/552.28
  6. Step 6: Final answer
    x = 580.00

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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.