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Finding the Fourth Proportional to 462.48, 694.80 and 446.06

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Solution

The fourth proportional to 462.48, 694.80 and 446.06 is: 670.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.48 : 694.80 = 446.06 : x
  2. Step 2: Convert to fraction form
    462.48/694.80 = 446.06/x
  3. Step 3: Cross multiply
    462.48x = 694.80 × 446.06
  4. Step 4: Simplify right side
    462.48x = 309,922.49
  5. Step 5: Solve for x
    x = 309,922.49/462.48
  6. Step 6: Final answer
    x = 670.13

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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.