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Finding the Fourth Proportional to 452.40, 681.82 and 427.28

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Solution

The fourth proportional to 452.40, 681.82 and 427.28 is: 643.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.40 : 681.82 = 427.28 : x
  2. Step 2: Convert to fraction form
    452.40/681.82 = 427.28/x
  3. Step 3: Cross multiply
    452.40x = 681.82 × 427.28
  4. Step 4: Simplify right side
    452.40x = 291,328.05
  5. Step 5: Solve for x
    x = 291,328.05/452.40
  6. Step 6: Final answer
    x = 643.96

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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.