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Finding the Fourth Proportional to 476.94, 657.42 and 378.51

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Solution

The fourth proportional to 476.94, 657.42 and 378.51 is: 521.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.94 : 657.42 = 378.51 : x
  2. Step 2: Convert to fraction form
    476.94/657.42 = 378.51/x
  3. Step 3: Cross multiply
    476.94x = 657.42 × 378.51
  4. Step 4: Simplify right side
    476.94x = 248,840.04
  5. Step 5: Solve for x
    x = 248,840.04/476.94
  6. Step 6: Final answer
    x = 521.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.