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Finding the Fourth Proportional to 912.25, 1,362.02 and 775.36

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Solution

The fourth proportional to 912.25, 1,362.02 and 775.36 is: 1,157.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.25 : 1,362.02 = 775.36 : x
  2. Step 2: Convert to fraction form
    912.25/1,362.02 = 775.36/x
  3. Step 3: Cross multiply
    912.25x = 1,362.02 × 775.36
  4. Step 4: Simplify right side
    912.25x = 1,056,055.83
  5. Step 5: Solve for x
    x = 1,056,055.83/912.25
  6. Step 6: Final answer
    x = 1,157.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.