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Finding the Fourth Proportional to 779.38, 1,074.72 and 499.63

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Solution

The fourth proportional to 779.38, 1,074.72 and 499.63 is: 688.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.38 : 1,074.72 = 499.63 : x
  2. Step 2: Convert to fraction form
    779.38/1,074.72 = 499.63/x
  3. Step 3: Cross multiply
    779.38x = 1,074.72 × 499.63
  4. Step 4: Simplify right side
    779.38x = 536,962.35
  5. Step 5: Solve for x
    x = 536,962.35/779.38
  6. Step 6: Final answer
    x = 688.96

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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.