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Finding the Fourth Proportional to 913.67, 1,369.70 and 775.74

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Solution

The fourth proportional to 913.67, 1,369.70 and 775.74 is: 1,162.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.67 : 1,369.70 = 775.74 : x
  2. Step 2: Convert to fraction form
    913.67/1,369.70 = 775.74/x
  3. Step 3: Cross multiply
    913.67x = 1,369.70 × 775.74
  4. Step 4: Simplify right side
    913.67x = 1,062,531.08
  5. Step 5: Solve for x
    x = 1,062,531.08/913.67
  6. Step 6: Final answer
    x = 1,162.93

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Why These Related Problems?

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