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Finding the Fourth Proportional to 941.84, 1,413.12 and 393.88

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Solution

The fourth proportional to 941.84, 1,413.12 and 393.88 is: 590.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.84 : 1,413.12 = 393.88 : x
  2. Step 2: Convert to fraction form
    941.84/1,413.12 = 393.88/x
  3. Step 3: Cross multiply
    941.84x = 1,413.12 × 393.88
  4. Step 4: Simplify right side
    941.84x = 556,599.71
  5. Step 5: Solve for x
    x = 556,599.71/941.84
  6. Step 6: Final answer
    x = 590.97

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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.