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Finding the Fourth Proportional to 779.68, 1,166.07 and 693.62

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Solution

The fourth proportional to 779.68, 1,166.07 and 693.62 is: 1,037.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.68 : 1,166.07 = 693.62 : x
  2. Step 2: Convert to fraction form
    779.68/1,166.07 = 693.62/x
  3. Step 3: Cross multiply
    779.68x = 1,166.07 × 693.62
  4. Step 4: Simplify right side
    779.68x = 808,803.64
  5. Step 5: Solve for x
    x = 808,803.64/779.68
  6. Step 6: Final answer
    x = 1,037.36

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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.