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Finding the Fourth Proportional to 469.21, 702.55 and 382.19

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Solution

The fourth proportional to 469.21, 702.55 and 382.19 is: 572.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.21 : 702.55 = 382.19 : x
  2. Step 2: Convert to fraction form
    469.21/702.55 = 382.19/x
  3. Step 3: Cross multiply
    469.21x = 702.55 × 382.19
  4. Step 4: Simplify right side
    469.21x = 268,504.55
  5. Step 5: Solve for x
    x = 268,504.55/469.21
  6. Step 6: Final answer
    x = 572.25

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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.