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Finding the Fourth Proportional to 1,413.44, 1,951.20 and 823.76

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Solution

The fourth proportional to 1,413.44, 1,951.20 and 823.76 is: 1,137.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.44 : 1,951.20 = 823.76 : x
  2. Step 2: Convert to fraction form
    1,413.44/1,951.20 = 823.76/x
  3. Step 3: Cross multiply
    1,413.44x = 1,951.20 × 823.76
  4. Step 4: Simplify right side
    1,413.44x = 1,607,320.51
  5. Step 5: Solve for x
    x = 1,607,320.51/1,413.44
  6. Step 6: Final answer
    x = 1,137.17

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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.