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Finding the Fourth Proportional to 1,069.78, 1,605.75 and 761.98

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Solution

The fourth proportional to 1,069.78, 1,605.75 and 761.98 is: 1,143.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.78 : 1,605.75 = 761.98 : x
  2. Step 2: Convert to fraction form
    1,069.78/1,605.75 = 761.98/x
  3. Step 3: Cross multiply
    1,069.78x = 1,605.75 × 761.98
  4. Step 4: Simplify right side
    1,069.78x = 1,223,549.39
  5. Step 5: Solve for x
    x = 1,223,549.39/1,069.78
  6. Step 6: Final answer
    x = 1,143.74

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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.