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Finding the Fourth Proportional to 919.60, 1,371.91 and 756.79

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Solution

The fourth proportional to 919.60, 1,371.91 and 756.79 is: 1,129.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.60 : 1,371.91 = 756.79 : x
  2. Step 2: Convert to fraction form
    919.60/1,371.91 = 756.79/x
  3. Step 3: Cross multiply
    919.60x = 1,371.91 × 756.79
  4. Step 4: Simplify right side
    919.60x = 1,038,247.77
  5. Step 5: Solve for x
    x = 1,038,247.77/919.60
  6. Step 6: Final answer
    x = 1,129.02

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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.