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Finding the Fourth Proportional to 779.02, 1,074.36 and 601.99

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Solution

The fourth proportional to 779.02, 1,074.36 and 601.99 is: 830.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.02 : 1,074.36 = 601.99 : x
  2. Step 2: Convert to fraction form
    779.02/1,074.36 = 601.99/x
  3. Step 3: Cross multiply
    779.02x = 1,074.36 × 601.99
  4. Step 4: Simplify right side
    779.02x = 646,753.98
  5. Step 5: Solve for x
    x = 646,753.98/779.02
  6. Step 6: Final answer
    x = 830.21

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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.