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Finding the Fourth Proportional to 1,661.86, 2,293.28 and 915.80

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Solution

The fourth proportional to 1,661.86, 2,293.28 and 915.80 is: 1,263.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.86 : 2,293.28 = 915.80 : x
  2. Step 2: Convert to fraction form
    1,661.86/2,293.28 = 915.80/x
  3. Step 3: Cross multiply
    1,661.86x = 2,293.28 × 915.80
  4. Step 4: Simplify right side
    1,661.86x = 2,100,169.78
  5. Step 5: Solve for x
    x = 2,100,169.78/1,661.86
  6. Step 6: Final answer
    x = 1,263.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.