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Finding the Fourth Proportional to 506.00, 701.46 and 478.28

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Solution

The fourth proportional to 506.00, 701.46 and 478.28 is: 663.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.00 : 701.46 = 478.28 : x
  2. Step 2: Convert to fraction form
    506.00/701.46 = 478.28/x
  3. Step 3: Cross multiply
    506.00x = 701.46 × 478.28
  4. Step 4: Simplify right side
    506.00x = 335,494.07
  5. Step 5: Solve for x
    x = 335,494.07/506.00
  6. Step 6: Final answer
    x = 663.04

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.