Home / 1,564.21-2,346.37-742.06

Finding the Fourth Proportional to 1,564.21, 2,346.37 and 742.06

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Solution

The fourth proportional to 1,564.21, 2,346.37 and 742.06 is: 1,113.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.21 : 2,346.37 = 742.06 : x
  2. Step 2: Convert to fraction form
    1,564.21/2,346.37 = 742.06/x
  3. Step 3: Cross multiply
    1,564.21x = 2,346.37 × 742.06
  4. Step 4: Simplify right side
    1,564.21x = 1,741,148.40
  5. Step 5: Solve for x
    x = 1,741,148.40/1,564.21
  6. Step 6: Final answer
    x = 1,113.12

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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.