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Finding the Fourth Proportional to 506.16, 755.96 and 478.08

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Solution

The fourth proportional to 506.16, 755.96 and 478.08 is: 714.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.16 : 755.96 = 478.08 : x
  2. Step 2: Convert to fraction form
    506.16/755.96 = 478.08/x
  3. Step 3: Cross multiply
    506.16x = 755.96 × 478.08
  4. Step 4: Simplify right side
    506.16x = 361,406.97
  5. Step 5: Solve for x
    x = 361,406.97/506.16
  6. Step 6: Final answer
    x = 714.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.