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Finding the Fourth Proportional to 779.38, 1,075.27 and 499.76

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Solution

The fourth proportional to 779.38, 1,075.27 and 499.76 is: 689.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.38 : 1,075.27 = 499.76 : x
  2. Step 2: Convert to fraction form
    779.38/1,075.27 = 499.76/x
  3. Step 3: Cross multiply
    779.38x = 1,075.27 × 499.76
  4. Step 4: Simplify right side
    779.38x = 537,374.44
  5. Step 5: Solve for x
    x = 537,374.44/779.38
  6. Step 6: Final answer
    x = 689.49

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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.