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Finding the Fourth Proportional to 751.75, 1,038.23 and 516.32

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Solution

The fourth proportional to 751.75, 1,038.23 and 516.32 is: 713.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.75 : 1,038.23 = 516.32 : x
  2. Step 2: Convert to fraction form
    751.75/1,038.23 = 516.32/x
  3. Step 3: Cross multiply
    751.75x = 1,038.23 × 516.32
  4. Step 4: Simplify right side
    751.75x = 536,062.80
  5. Step 5: Solve for x
    x = 536,062.80/751.75
  6. Step 6: Final answer
    x = 713.08

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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.