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Finding the Fourth Proportional to 999.19, 1,378.50 and 772.14

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Solution

The fourth proportional to 999.19, 1,378.50 and 772.14 is: 1,065.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.19 : 1,378.50 = 772.14 : x
  2. Step 2: Convert to fraction form
    999.19/1,378.50 = 772.14/x
  3. Step 3: Cross multiply
    999.19x = 1,378.50 × 772.14
  4. Step 4: Simplify right side
    999.19x = 1,064,394.99
  5. Step 5: Solve for x
    x = 1,064,394.99/999.19
  6. Step 6: Final answer
    x = 1,065.26

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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.