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Finding the Fourth Proportional to 1,295.40, 1,786.95 and 771.33

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Solution

The fourth proportional to 1,295.40, 1,786.95 and 771.33 is: 1,064.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.40 : 1,786.95 = 771.33 : x
  2. Step 2: Convert to fraction form
    1,295.40/1,786.95 = 771.33/x
  3. Step 3: Cross multiply
    1,295.40x = 1,786.95 × 771.33
  4. Step 4: Simplify right side
    1,295.40x = 1,378,328.14
  5. Step 5: Solve for x
    x = 1,378,328.14/1,295.40
  6. Step 6: Final answer
    x = 1,064.02

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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.