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Finding the Fourth Proportional to 753.23, 1,128.02 and 427.20

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Solution

The fourth proportional to 753.23, 1,128.02 and 427.20 is: 639.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.23 : 1,128.02 = 427.20 : x
  2. Step 2: Convert to fraction form
    753.23/1,128.02 = 427.20/x
  3. Step 3: Cross multiply
    753.23x = 1,128.02 × 427.20
  4. Step 4: Simplify right side
    753.23x = 481,888.01
  5. Step 5: Solve for x
    x = 481,888.01/753.23
  6. Step 6: Final answer
    x = 639.77

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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.