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Finding the Fourth Proportional to 465.95, 694.74 and 457.75

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Solution

The fourth proportional to 465.95, 694.74 and 457.75 is: 682.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.95 : 694.74 = 457.75 : x
  2. Step 2: Convert to fraction form
    465.95/694.74 = 457.75/x
  3. Step 3: Cross multiply
    465.95x = 694.74 × 457.75
  4. Step 4: Simplify right side
    465.95x = 318,019.82
  5. Step 5: Solve for x
    x = 318,019.82/465.95
  6. Step 6: Final answer
    x = 682.52

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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.