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Finding the Fourth Proportional to 1,270.68, 1,742.34 and 1,145.84

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Solution

The fourth proportional to 1,270.68, 1,742.34 and 1,145.84 is: 1,571.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.68 : 1,742.34 = 1,145.84 : x
  2. Step 2: Convert to fraction form
    1,270.68/1,742.34 = 1,145.84/x
  3. Step 3: Cross multiply
    1,270.68x = 1,742.34 × 1,145.84
  4. Step 4: Simplify right side
    1,270.68x = 1,996,442.87
  5. Step 5: Solve for x
    x = 1,996,442.87/1,270.68
  6. Step 6: Final answer
    x = 1,571.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.