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Finding the Fourth Proportional to 643.63, 888.71 and 494.01

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Solution

The fourth proportional to 643.63, 888.71 and 494.01 is: 682.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.63 : 888.71 = 494.01 : x
  2. Step 2: Convert to fraction form
    643.63/888.71 = 494.01/x
  3. Step 3: Cross multiply
    643.63x = 888.71 × 494.01
  4. Step 4: Simplify right side
    643.63x = 439,036.19
  5. Step 5: Solve for x
    x = 439,036.19/643.63
  6. Step 6: Final answer
    x = 682.13

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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.