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Finding the Fourth Proportional to 450.76, 678.78 and 397.30

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Solution

The fourth proportional to 450.76, 678.78 and 397.30 is: 598.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.76 : 678.78 = 397.30 : x
  2. Step 2: Convert to fraction form
    450.76/678.78 = 397.30/x
  3. Step 3: Cross multiply
    450.76x = 678.78 × 397.30
  4. Step 4: Simplify right side
    450.76x = 269,679.29
  5. Step 5: Solve for x
    x = 269,679.29/450.76
  6. Step 6: Final answer
    x = 598.28

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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.