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Finding the Fourth Proportional to 1,027.23, 1,413.47 and 998.52

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Solution

The fourth proportional to 1,027.23, 1,413.47 and 998.52 is: 1,373.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.23 : 1,413.47 = 998.52 : x
  2. Step 2: Convert to fraction form
    1,027.23/1,413.47 = 998.52/x
  3. Step 3: Cross multiply
    1,027.23x = 1,413.47 × 998.52
  4. Step 4: Simplify right side
    1,027.23x = 1,411,378.06
  5. Step 5: Solve for x
    x = 1,411,378.06/1,027.23
  6. Step 6: Final answer
    x = 1,373.96

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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.