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Finding the Fourth Proportional to 465.67, 702.16 and 412.21

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Solution

The fourth proportional to 465.67, 702.16 and 412.21 is: 621.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.67 : 702.16 = 412.21 : x
  2. Step 2: Convert to fraction form
    465.67/702.16 = 412.21/x
  3. Step 3: Cross multiply
    465.67x = 702.16 × 412.21
  4. Step 4: Simplify right side
    465.67x = 289,437.37
  5. Step 5: Solve for x
    x = 289,437.37/465.67
  6. Step 6: Final answer
    x = 621.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.