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Finding the Fourth Proportional to 1,216.93, 1,678.97 and 719.74

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Solution

The fourth proportional to 1,216.93, 1,678.97 and 719.74 is: 993.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.93 : 1,678.97 = 719.74 : x
  2. Step 2: Convert to fraction form
    1,216.93/1,678.97 = 719.74/x
  3. Step 3: Cross multiply
    1,216.93x = 1,678.97 × 719.74
  4. Step 4: Simplify right side
    1,216.93x = 1,208,413.47
  5. Step 5: Solve for x
    x = 1,208,413.47/1,216.93
  6. Step 6: Final answer
    x = 993.01

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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.