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Finding the Fourth Proportional to 944.06, 1,413.93 and 578.30

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Solution

The fourth proportional to 944.06, 1,413.93 and 578.30 is: 866.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.06 : 1,413.93 = 578.30 : x
  2. Step 2: Convert to fraction form
    944.06/1,413.93 = 578.30/x
  3. Step 3: Cross multiply
    944.06x = 1,413.93 × 578.30
  4. Step 4: Simplify right side
    944.06x = 817,675.72
  5. Step 5: Solve for x
    x = 817,675.72/944.06
  6. Step 6: Final answer
    x = 866.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.