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Finding the Fourth Proportional to 647.14, 888.31 and 588.82

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Solution

The fourth proportional to 647.14, 888.31 and 588.82 is: 808.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.14 : 888.31 = 588.82 : x
  2. Step 2: Convert to fraction form
    647.14/888.31 = 588.82/x
  3. Step 3: Cross multiply
    647.14x = 888.31 × 588.82
  4. Step 4: Simplify right side
    647.14x = 523,054.69
  5. Step 5: Solve for x
    x = 523,054.69/647.14
  6. Step 6: Final answer
    x = 808.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.