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Finding the Fourth Proportional to 1,393.16, 2,088.11 and 775.94

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Solution

The fourth proportional to 1,393.16, 2,088.11 and 775.94 is: 1,163.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.16 : 2,088.11 = 775.94 : x
  2. Step 2: Convert to fraction form
    1,393.16/2,088.11 = 775.94/x
  3. Step 3: Cross multiply
    1,393.16x = 2,088.11 × 775.94
  4. Step 4: Simplify right side
    1,393.16x = 1,620,233.75
  5. Step 5: Solve for x
    x = 1,620,233.75/1,393.16
  6. Step 6: Final answer
    x = 1,163.00

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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.