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Finding the Fourth Proportional to 919.89, 1,270.53 and 723.15

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Solution

The fourth proportional to 919.89, 1,270.53 and 723.15 is: 998.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.89 : 1,270.53 = 723.15 : x
  2. Step 2: Convert to fraction form
    919.89/1,270.53 = 723.15/x
  3. Step 3: Cross multiply
    919.89x = 1,270.53 × 723.15
  4. Step 4: Simplify right side
    919.89x = 918,783.77
  5. Step 5: Solve for x
    x = 918,783.77/919.89
  6. Step 6: Final answer
    x = 998.80

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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.