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Finding the Fourth Proportional to 612.82, 846.03 and 465.85

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Solution

The fourth proportional to 612.82, 846.03 and 465.85 is: 643.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.82 : 846.03 = 465.85 : x
  2. Step 2: Convert to fraction form
    612.82/846.03 = 465.85/x
  3. Step 3: Cross multiply
    612.82x = 846.03 × 465.85
  4. Step 4: Simplify right side
    612.82x = 394,123.08
  5. Step 5: Solve for x
    x = 394,123.08/612.82
  6. Step 6: Final answer
    x = 643.13

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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.