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Finding the Fourth Proportional to 793.10, 1,190.12 and 442.00

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Solution

The fourth proportional to 793.10, 1,190.12 and 442.00 is: 663.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.10 : 1,190.12 = 442.00 : x
  2. Step 2: Convert to fraction form
    793.10/1,190.12 = 442.00/x
  3. Step 3: Cross multiply
    793.10x = 1,190.12 × 442.00
  4. Step 4: Simplify right side
    793.10x = 526,031.17
  5. Step 5: Solve for x
    x = 526,031.17/793.10
  6. Step 6: Final answer
    x = 663.26

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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.