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Finding the Fourth Proportional to 877.25, 1,316.55 and 774.74

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Solution

The fourth proportional to 877.25, 1,316.55 and 774.74 is: 1,162.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.25 : 1,316.55 = 774.74 : x
  2. Step 2: Convert to fraction form
    877.25/1,316.55 = 774.74/x
  3. Step 3: Cross multiply
    877.25x = 1,316.55 × 774.74
  4. Step 4: Simplify right side
    877.25x = 1,019,977.36
  5. Step 5: Solve for x
    x = 1,019,977.36/877.25
  6. Step 6: Final answer
    x = 1,162.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.