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Finding the Fourth Proportional to 1,413.84, 1,949.76 and 934.32

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Solution

The fourth proportional to 1,413.84, 1,949.76 and 934.32 is: 1,288.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.84 : 1,949.76 = 934.32 : x
  2. Step 2: Convert to fraction form
    1,413.84/1,949.76 = 934.32/x
  3. Step 3: Cross multiply
    1,413.84x = 1,949.76 × 934.32
  4. Step 4: Simplify right side
    1,413.84x = 1,821,699.76
  5. Step 5: Solve for x
    x = 1,821,699.76/1,413.84
  6. Step 6: Final answer
    x = 1,288.48

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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.