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Finding the Fourth Proportional to 612.84, 845.85 and 465.21

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Solution

The fourth proportional to 612.84, 845.85 and 465.21 is: 642.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.84 : 845.85 = 465.21 : x
  2. Step 2: Convert to fraction form
    612.84/845.85 = 465.21/x
  3. Step 3: Cross multiply
    612.84x = 845.85 × 465.21
  4. Step 4: Simplify right side
    612.84x = 393,497.88
  5. Step 5: Solve for x
    x = 393,497.88/612.84
  6. Step 6: Final answer
    x = 642.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.