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Finding the Fourth Proportional to 1,395.04, 2,090.55 and 769

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Solution

The fourth proportional to 1,395.04, 2,090.55 and 769 is: 1,152.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.04 : 2,090.55 = 769 : x
  2. Step 2: Convert to fraction form
    1,395.04/2,090.55 = 769/x
  3. Step 3: Cross multiply
    1,395.04x = 2,090.55 × 769
  4. Step 4: Simplify right side
    1,395.04x = 1,607,632.95
  5. Step 5: Solve for x
    x = 1,607,632.95/1,395.04
  6. Step 6: Final answer
    x = 1,152.39

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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.