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Finding the Fourth Proportional to 642.94, 886.43 and 476.87

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Solution

The fourth proportional to 642.94, 886.43 and 476.87 is: 657.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.94 : 886.43 = 476.87 : x
  2. Step 2: Convert to fraction form
    642.94/886.43 = 476.87/x
  3. Step 3: Cross multiply
    642.94x = 886.43 × 476.87
  4. Step 4: Simplify right side
    642.94x = 422,708.63
  5. Step 5: Solve for x
    x = 422,708.63/642.94
  6. Step 6: Final answer
    x = 657.46

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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.