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Finding the Fourth Proportional to 779.71, 1,075.01 and 499.44

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Solution

The fourth proportional to 779.71, 1,075.01 and 499.44 is: 688.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.71 : 1,075.01 = 499.44 : x
  2. Step 2: Convert to fraction form
    779.71/1,075.01 = 499.44/x
  3. Step 3: Cross multiply
    779.71x = 1,075.01 × 499.44
  4. Step 4: Simplify right side
    779.71x = 536,904.24
  5. Step 5: Solve for x
    x = 536,904.24/779.71
  6. Step 6: Final answer
    x = 688.60

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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.