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Finding the Fourth Proportional to 657.42, 903.18 and 588.38

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Solution

The fourth proportional to 657.42, 903.18 and 588.38 is: 808.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.42 : 903.18 = 588.38 : x
  2. Step 2: Convert to fraction form
    657.42/903.18 = 588.38/x
  3. Step 3: Cross multiply
    657.42x = 903.18 × 588.38
  4. Step 4: Simplify right side
    657.42x = 531,413.05
  5. Step 5: Solve for x
    x = 531,413.05/657.42
  6. Step 6: Final answer
    x = 808.33

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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.