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Finding the Fourth Proportional to 919.81, 1,373.93 and 774.01

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Solution

The fourth proportional to 919.81, 1,373.93 and 774.01 is: 1,156.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.81 : 1,373.93 = 774.01 : x
  2. Step 2: Convert to fraction form
    919.81/1,373.93 = 774.01/x
  3. Step 3: Cross multiply
    919.81x = 1,373.93 × 774.01
  4. Step 4: Simplify right side
    919.81x = 1,063,435.56
  5. Step 5: Solve for x
    x = 1,063,435.56/919.81
  6. Step 6: Final answer
    x = 1,156.15

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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.