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Finding the Fourth Proportional to 779.25, 1,075.53 and 700.42

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Solution

The fourth proportional to 779.25, 1,075.53 and 700.42 is: 966.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.25 : 1,075.53 = 700.42 : x
  2. Step 2: Convert to fraction form
    779.25/1,075.53 = 700.42/x
  3. Step 3: Cross multiply
    779.25x = 1,075.53 × 700.42
  4. Step 4: Simplify right side
    779.25x = 753,322.72
  5. Step 5: Solve for x
    x = 753,322.72/779.25
  6. Step 6: Final answer
    x = 966.73

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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.