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Finding the Fourth Proportional to 944.19, 1,413.81 and 578.46

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Solution

The fourth proportional to 944.19, 1,413.81 and 578.46 is: 866.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.19 : 1,413.81 = 578.46 : x
  2. Step 2: Convert to fraction form
    944.19/1,413.81 = 578.46/x
  3. Step 3: Cross multiply
    944.19x = 1,413.81 × 578.46
  4. Step 4: Simplify right side
    944.19x = 817,832.53
  5. Step 5: Solve for x
    x = 817,832.53/944.19
  6. Step 6: Final answer
    x = 866.17

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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.