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Finding the Fourth Proportional to 944.62, 1,413.56 and 615.35

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Solution

The fourth proportional to 944.62, 1,413.56 and 615.35 is: 920.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.62 : 1,413.56 = 615.35 : x
  2. Step 2: Convert to fraction form
    944.62/1,413.56 = 615.35/x
  3. Step 3: Cross multiply
    944.62x = 1,413.56 × 615.35
  4. Step 4: Simplify right side
    944.62x = 869,839.22
  5. Step 5: Solve for x
    x = 869,839.22/944.62
  6. Step 6: Final answer
    x = 920.84

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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.