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Finding the Fourth Proportional to 505.08, 758.52 and 462.12

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Solution

The fourth proportional to 505.08, 758.52 and 462.12 is: 694.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.08 : 758.52 = 462.12 : x
  2. Step 2: Convert to fraction form
    505.08/758.52 = 462.12/x
  3. Step 3: Cross multiply
    505.08x = 758.52 × 462.12
  4. Step 4: Simplify right side
    505.08x = 350,527.26
  5. Step 5: Solve for x
    x = 350,527.26/505.08
  6. Step 6: Final answer
    x = 694.00

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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.