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Finding the Fourth Proportional to 1,225.77, 1,692.08 and 783.57

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Solution

The fourth proportional to 1,225.77, 1,692.08 and 783.57 is: 1,081.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.77 : 1,692.08 = 783.57 : x
  2. Step 2: Convert to fraction form
    1,225.77/1,692.08 = 783.57/x
  3. Step 3: Cross multiply
    1,225.77x = 1,692.08 × 783.57
  4. Step 4: Simplify right side
    1,225.77x = 1,325,863.13
  5. Step 5: Solve for x
    x = 1,325,863.13/1,225.77
  6. Step 6: Final answer
    x = 1,081.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.