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Finding the Fourth Proportional to 779.42, 1,166.70 and 606.59

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Solution

The fourth proportional to 779.42, 1,166.70 and 606.59 is: 907.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.42 : 1,166.70 = 606.59 : x
  2. Step 2: Convert to fraction form
    779.42/1,166.70 = 606.59/x
  3. Step 3: Cross multiply
    779.42x = 1,166.70 × 606.59
  4. Step 4: Simplify right side
    779.42x = 707,709.37
  5. Step 5: Solve for x
    x = 707,709.37/779.42
  6. Step 6: Final answer
    x = 907.99

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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.