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Finding the Fourth Proportional to 789.55, 1,090.31 and 510.44

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Solution

The fourth proportional to 789.55, 1,090.31 and 510.44 is: 704.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.55 : 1,090.31 = 510.44 : x
  2. Step 2: Convert to fraction form
    789.55/1,090.31 = 510.44/x
  3. Step 3: Cross multiply
    789.55x = 1,090.31 × 510.44
  4. Step 4: Simplify right side
    789.55x = 556,529.83
  5. Step 5: Solve for x
    x = 556,529.83/789.55
  6. Step 6: Final answer
    x = 704.87

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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.