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Finding the Fourth Proportional to 947.03, 1,413.15 and 749.80

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Solution

The fourth proportional to 947.03, 1,413.15 and 749.80 is: 1,118.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.03 : 1,413.15 = 749.80 : x
  2. Step 2: Convert to fraction form
    947.03/1,413.15 = 749.80/x
  3. Step 3: Cross multiply
    947.03x = 1,413.15 × 749.80
  4. Step 4: Simplify right side
    947.03x = 1,059,576.34
  5. Step 5: Solve for x
    x = 1,059,576.34/947.03
  6. Step 6: Final answer
    x = 1,118.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.