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Finding the Fourth Proportional to 947.28, 1,413.52 and 750.05

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Solution

The fourth proportional to 947.28, 1,413.52 and 750.05 is: 1,119.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.28 : 1,413.52 = 750.05 : x
  2. Step 2: Convert to fraction form
    947.28/1,413.52 = 750.05/x
  3. Step 3: Cross multiply
    947.28x = 1,413.52 × 750.05
  4. Step 4: Simplify right side
    947.28x = 1,060,209.02
  5. Step 5: Solve for x
    x = 1,060,209.02/947.28
  6. Step 6: Final answer
    x = 1,119.21

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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.