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Finding the Fourth Proportional to 1,741.32, 2,613.06 and 768.24

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Solution

The fourth proportional to 1,741.32, 2,613.06 and 768.24 is: 1,152.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.32 : 2,613.06 = 768.24 : x
  2. Step 2: Convert to fraction form
    1,741.32/2,613.06 = 768.24/x
  3. Step 3: Cross multiply
    1,741.32x = 2,613.06 × 768.24
  4. Step 4: Simplify right side
    1,741.32x = 2,007,457.21
  5. Step 5: Solve for x
    x = 2,007,457.21/1,741.32
  6. Step 6: Final answer
    x = 1,152.84

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1.5x scale

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.