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Finding the Fourth Proportional to 1,383.95, 2,074.72 and 653.01

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Solution

The fourth proportional to 1,383.95, 2,074.72 and 653.01 is: 978.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.95 : 2,074.72 = 653.01 : x
  2. Step 2: Convert to fraction form
    1,383.95/2,074.72 = 653.01/x
  3. Step 3: Cross multiply
    1,383.95x = 2,074.72 × 653.01
  4. Step 4: Simplify right side
    1,383.95x = 1,354,812.91
  5. Step 5: Solve for x
    x = 1,354,812.91/1,383.95
  6. Step 6: Final answer
    x = 978.95

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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.