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Finding the Fourth Proportional to 505, 754.07 and 466.12

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Solution

The fourth proportional to 505, 754.07 and 466.12 is: 696.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    505 : 754.07 = 466.12 : x
  2. Step 2: Convert to fraction form
    505/754.07 = 466.12/x
  3. Step 3: Cross multiply
    505x = 754.07 × 466.12
  4. Step 4: Simplify right side
    505x = 351,487.11
  5. Step 5: Solve for x
    x = 351,487.11/505
  6. Step 6: Final answer
    x = 696.01

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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.