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Finding the Fourth Proportional to 779.33, 1,075.01 and 499.46

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Solution

The fourth proportional to 779.33, 1,075.01 and 499.46 is: 688.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.33 : 1,075.01 = 499.46 : x
  2. Step 2: Convert to fraction form
    779.33/1,075.01 = 499.46/x
  3. Step 3: Cross multiply
    779.33x = 1,075.01 × 499.46
  4. Step 4: Simplify right side
    779.33x = 536,924.49
  5. Step 5: Solve for x
    x = 536,924.49/779.33
  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.