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Finding the Fourth Proportional to 727.77, 1,090.34 and 380.76

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Solution

The fourth proportional to 727.77, 1,090.34 and 380.76 is: 570.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.77 : 1,090.34 = 380.76 : x
  2. Step 2: Convert to fraction form
    727.77/1,090.34 = 380.76/x
  3. Step 3: Cross multiply
    727.77x = 1,090.34 × 380.76
  4. Step 4: Simplify right side
    727.77x = 415,157.86
  5. Step 5: Solve for x
    x = 415,157.86/727.77
  6. Step 6: Final answer
    x = 570.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.