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Finding the Fourth Proportional to 468.59, 702.27 and 438.21

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Solution

The fourth proportional to 468.59, 702.27 and 438.21 is: 656.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.59 : 702.27 = 438.21 : x
  2. Step 2: Convert to fraction form
    468.59/702.27 = 438.21/x
  3. Step 3: Cross multiply
    468.59x = 702.27 × 438.21
  4. Step 4: Simplify right side
    468.59x = 307,741.74
  5. Step 5: Solve for x
    x = 307,741.74/468.59
  6. Step 6: Final answer
    x = 656.75

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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.