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Finding the Fourth Proportional to 1,346.24, 2,017.07 and 653.23

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Solution

The fourth proportional to 1,346.24, 2,017.07 and 653.23 is: 978.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.24 : 2,017.07 = 653.23 : x
  2. Step 2: Convert to fraction form
    1,346.24/2,017.07 = 653.23/x
  3. Step 3: Cross multiply
    1,346.24x = 2,017.07 × 653.23
  4. Step 4: Simplify right side
    1,346.24x = 1,317,610.64
  5. Step 5: Solve for x
    x = 1,317,610.64/1,346.24
  6. Step 6: Final answer
    x = 978.73

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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.