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Finding the Fourth Proportional to 1,289.25, 1,780.38 and 897.35

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Solution

The fourth proportional to 1,289.25, 1,780.38 and 897.35 is: 1,239.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.25 : 1,780.38 = 897.35 : x
  2. Step 2: Convert to fraction form
    1,289.25/1,780.38 = 897.35/x
  3. Step 3: Cross multiply
    1,289.25x = 1,780.38 × 897.35
  4. Step 4: Simplify right side
    1,289.25x = 1,597,615.09
  5. Step 5: Solve for x
    x = 1,597,615.09/1,289.25
  6. Step 6: Final answer
    x = 1,239.18

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1.5x scale

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.