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Finding the Fourth Proportional to 779.02, 1,074.03 and 498.78

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Solution

The fourth proportional to 779.02, 1,074.03 and 498.78 is: 687.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.02 : 1,074.03 = 498.78 : x
  2. Step 2: Convert to fraction form
    779.02/1,074.03 = 498.78/x
  3. Step 3: Cross multiply
    779.02x = 1,074.03 × 498.78
  4. Step 4: Simplify right side
    779.02x = 535,704.68
  5. Step 5: Solve for x
    x = 535,704.68/779.02
  6. Step 6: Final answer
    x = 687.66

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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.