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Finding the Fourth Proportional to 643.97, 888.34 and 407.51

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Solution

The fourth proportional to 643.97, 888.34 and 407.51 is: 562.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.97 : 888.34 = 407.51 : x
  2. Step 2: Convert to fraction form
    643.97/888.34 = 407.51/x
  3. Step 3: Cross multiply
    643.97x = 888.34 × 407.51
  4. Step 4: Simplify right side
    643.97x = 362,012.21
  5. Step 5: Solve for x
    x = 362,012.21/643.97
  6. Step 6: Final answer
    x = 562.16

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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.