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Finding the Fourth Proportional to 944.31, 1,413.75 and 578.01

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Solution

The fourth proportional to 944.31, 1,413.75 and 578.01 is: 865.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.31 : 1,413.75 = 578.01 : x
  2. Step 2: Convert to fraction form
    944.31/1,413.75 = 578.01/x
  3. Step 3: Cross multiply
    944.31x = 1,413.75 × 578.01
  4. Step 4: Simplify right side
    944.31x = 817,161.64
  5. Step 5: Solve for x
    x = 817,161.64/944.31
  6. Step 6: Final answer
    x = 865.35

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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.