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Finding the Fourth Proportional to 450.54, 678.44 and 393.46

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Solution

The fourth proportional to 450.54, 678.44 and 393.46 is: 592.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.54 : 678.44 = 393.46 : x
  2. Step 2: Convert to fraction form
    450.54/678.44 = 393.46/x
  3. Step 3: Cross multiply
    450.54x = 678.44 × 393.46
  4. Step 4: Simplify right side
    450.54x = 266,938.29
  5. Step 5: Solve for x
    x = 266,938.29/450.54
  6. Step 6: Final answer
    x = 592.49

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1.5x scale

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.