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Finding the Fourth Proportional to 779.16, 1,074.27 and 498.94

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Solution

The fourth proportional to 779.16, 1,074.27 and 498.94 is: 687.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.16 : 1,074.27 = 498.94 : x
  2. Step 2: Convert to fraction form
    779.16/1,074.27 = 498.94/x
  3. Step 3: Cross multiply
    779.16x = 1,074.27 × 498.94
  4. Step 4: Simplify right side
    779.16x = 535,993.59
  5. Step 5: Solve for x
    x = 535,993.59/779.16
  6. Step 6: Final answer
    x = 687.91

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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.