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Finding the Fourth Proportional to 919.92, 1,270.08 and 571.08

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Solution

The fourth proportional to 919.92, 1,270.08 and 571.08 is: 788.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.92 : 1,270.08 = 571.08 : x
  2. Step 2: Convert to fraction form
    919.92/1,270.08 = 571.08/x
  3. Step 3: Cross multiply
    919.92x = 1,270.08 × 571.08
  4. Step 4: Simplify right side
    919.92x = 725,317.29
  5. Step 5: Solve for x
    x = 725,317.29/919.92
  6. Step 6: Final answer
    x = 788.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.