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Finding the Fourth Proportional to 751.63, 1,126.12 and 642.31

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Solution

The fourth proportional to 751.63, 1,126.12 and 642.31 is: 962.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.63 : 1,126.12 = 642.31 : x
  2. Step 2: Convert to fraction form
    751.63/1,126.12 = 642.31/x
  3. Step 3: Cross multiply
    751.63x = 1,126.12 × 642.31
  4. Step 4: Simplify right side
    751.63x = 723,318.14
  5. Step 5: Solve for x
    x = 723,318.14/751.63
  6. Step 6: Final answer
    x = 962.33

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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.