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Finding the Fourth Proportional to 975.96, 1,346.40 and 779.76

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Solution

The fourth proportional to 975.96, 1,346.40 and 779.76 is: 1,075.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.96 : 1,346.40 = 779.76 : x
  2. Step 2: Convert to fraction form
    975.96/1,346.40 = 779.76/x
  3. Step 3: Cross multiply
    975.96x = 1,346.40 × 779.76
  4. Step 4: Simplify right side
    975.96x = 1,049,868.86
  5. Step 5: Solve for x
    x = 1,049,868.86/975.96
  6. Step 6: Final answer
    x = 1,075.73

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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.