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Finding the Fourth Proportional to 462.24, 694.72 and 407.56

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Solution

The fourth proportional to 462.24, 694.72 and 407.56 is: 612.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.24 : 694.72 = 407.56 : x
  2. Step 2: Convert to fraction form
    462.24/694.72 = 407.56/x
  3. Step 3: Cross multiply
    462.24x = 694.72 × 407.56
  4. Step 4: Simplify right side
    462.24x = 283,140.08
  5. Step 5: Solve for x
    x = 283,140.08/462.24
  6. Step 6: Final answer
    x = 612.54

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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.