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Finding the Fourth Proportional to 1,541.21, 2,311.71 and 719.67

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Solution

The fourth proportional to 1,541.21, 2,311.71 and 719.67 is: 1,079.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.21 : 2,311.71 = 719.67 : x
  2. Step 2: Convert to fraction form
    1,541.21/2,311.71 = 719.67/x
  3. Step 3: Cross multiply
    1,541.21x = 2,311.71 × 719.67
  4. Step 4: Simplify right side
    1,541.21x = 1,663,656.78
  5. Step 5: Solve for x
    x = 1,663,656.78/1,541.21
  6. Step 6: Final answer
    x = 1,079.45

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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.