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Finding the Fourth Proportional to 1,060.47, 1,588.41 and 943.61

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Solution

The fourth proportional to 1,060.47, 1,588.41 and 943.61 is: 1,413.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.47 : 1,588.41 = 943.61 : x
  2. Step 2: Convert to fraction form
    1,060.47/1,588.41 = 943.61/x
  3. Step 3: Cross multiply
    1,060.47x = 1,588.41 × 943.61
  4. Step 4: Simplify right side
    1,060.47x = 1,498,831.62
  5. Step 5: Solve for x
    x = 1,498,831.62/1,060.47
  6. Step 6: Final answer
    x = 1,413.37

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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.