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Finding the Fourth Proportional to 779.22, 1,165.34 and 693.10

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Solution

The fourth proportional to 779.22, 1,165.34 and 693.10 is: 1,036.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.22 : 1,165.34 = 693.10 : x
  2. Step 2: Convert to fraction form
    779.22/1,165.34 = 693.10/x
  3. Step 3: Cross multiply
    779.22x = 1,165.34 × 693.10
  4. Step 4: Simplify right side
    779.22x = 807,697.15
  5. Step 5: Solve for x
    x = 807,697.15/779.22
  6. Step 6: Final answer
    x = 1,036.55

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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.