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Finding the Fourth Proportional to 751.77, 1,038.49 and 712.36

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Solution

The fourth proportional to 751.77, 1,038.49 and 712.36 is: 984.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.77 : 1,038.49 = 712.36 : x
  2. Step 2: Convert to fraction form
    751.77/1,038.49 = 712.36/x
  3. Step 3: Cross multiply
    751.77x = 1,038.49 × 712.36
  4. Step 4: Simplify right side
    751.77x = 739,782.26
  5. Step 5: Solve for x
    x = 739,782.26/751.77
  6. Step 6: Final answer
    x = 984.05

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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.