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Finding the Fourth Proportional to 992.18, 1,370.86 and 783.96

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Solution

The fourth proportional to 992.18, 1,370.86 and 783.96 is: 1,083.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.18 : 1,370.86 = 783.96 : x
  2. Step 2: Convert to fraction form
    992.18/1,370.86 = 783.96/x
  3. Step 3: Cross multiply
    992.18x = 1,370.86 × 783.96
  4. Step 4: Simplify right side
    992.18x = 1,074,692.30
  5. Step 5: Solve for x
    x = 1,074,692.30/992.18
  6. Step 6: Final answer
    x = 1,083.16

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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.