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Finding the Fourth Proportional to 1,591.09, 2,386.64 and 495.43

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Solution

The fourth proportional to 1,591.09, 2,386.64 and 495.43 is: 743.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.09 : 2,386.64 = 495.43 : x
  2. Step 2: Convert to fraction form
    1,591.09/2,386.64 = 495.43/x
  3. Step 3: Cross multiply
    1,591.09x = 2,386.64 × 495.43
  4. Step 4: Simplify right side
    1,591.09x = 1,182,413.06
  5. Step 5: Solve for x
    x = 1,182,413.06/1,591.09
  6. Step 6: Final answer
    x = 743.15

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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.