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Finding the Fourth Proportional to 1,383.16, 2,074.74 and 561.45

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Solution

The fourth proportional to 1,383.16, 2,074.74 and 561.45 is: 842.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.16 : 2,074.74 = 561.45 : x
  2. Step 2: Convert to fraction form
    1,383.16/2,074.74 = 561.45/x
  3. Step 3: Cross multiply
    1,383.16x = 2,074.74 × 561.45
  4. Step 4: Simplify right side
    1,383.16x = 1,164,862.77
  5. Step 5: Solve for x
    x = 1,164,862.77/1,383.16
  6. Step 6: Final answer
    x = 842.18

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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.