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Finding the Fourth Proportional to 751.88, 1,029.82 and 707.60

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Solution

The fourth proportional to 751.88, 1,029.82 and 707.60 is: 969.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.88 : 1,029.82 = 707.60 : x
  2. Step 2: Convert to fraction form
    751.88/1,029.82 = 707.60/x
  3. Step 3: Cross multiply
    751.88x = 1,029.82 × 707.60
  4. Step 4: Simplify right side
    751.88x = 728,700.63
  5. Step 5: Solve for x
    x = 728,700.63/751.88
  6. Step 6: Final answer
    x = 969.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.