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Finding the Fourth Proportional to 1,563.21, 2,343.15 and 781.67

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Solution

The fourth proportional to 1,563.21, 2,343.15 and 781.67 is: 1,171.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.21 : 2,343.15 = 781.67 : x
  2. Step 2: Convert to fraction form
    1,563.21/2,343.15 = 781.67/x
  3. Step 3: Cross multiply
    1,563.21x = 2,343.15 × 781.67
  4. Step 4: Simplify right side
    1,563.21x = 1,831,570.06
  5. Step 5: Solve for x
    x = 1,831,570.06/1,563.21
  6. Step 6: Final answer
    x = 1,171.67

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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.