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Finding the Fourth Proportional to 505.19, 757.22 and 464.18

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Solution

The fourth proportional to 505.19, 757.22 and 464.18 is: 695.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.19 : 757.22 = 464.18 : x
  2. Step 2: Convert to fraction form
    505.19/757.22 = 464.18/x
  3. Step 3: Cross multiply
    505.19x = 757.22 × 464.18
  4. Step 4: Simplify right side
    505.19x = 351,483.33
  5. Step 5: Solve for x
    x = 351,483.33/505.19
  6. Step 6: Final answer
    x = 695.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.