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Finding the Fourth Proportional to 753.01, 1,127.76 and 361.74

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Solution

The fourth proportional to 753.01, 1,127.76 and 361.74 is: 541.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.01 : 1,127.76 = 361.74 : x
  2. Step 2: Convert to fraction form
    753.01/1,127.76 = 361.74/x
  3. Step 3: Cross multiply
    753.01x = 1,127.76 × 361.74
  4. Step 4: Simplify right side
    753.01x = 407,958.77
  5. Step 5: Solve for x
    x = 407,958.77/753.01
  6. Step 6: Final answer
    x = 541.77

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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.