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Finding the Fourth Proportional to 1,188.98, 1,783.45 and 538.95

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Solution

The fourth proportional to 1,188.98, 1,783.45 and 538.95 is: 808.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.98 : 1,783.45 = 538.95 : x
  2. Step 2: Convert to fraction form
    1,188.98/1,783.45 = 538.95/x
  3. Step 3: Cross multiply
    1,188.98x = 1,783.45 × 538.95
  4. Step 4: Simplify right side
    1,188.98x = 961,190.38
  5. Step 5: Solve for x
    x = 961,190.38/1,188.98
  6. Step 6: Final answer
    x = 808.42

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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.