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Finding the Fourth Proportional to 762.60, 1,069.80 and 762.60

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Solution

The fourth proportional to 762.60, 1,069.80 and 762.60 is: 1,069.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.60 : 1,069.80 = 762.60 : x
  2. Step 2: Convert to fraction form
    762.60/1,069.80 = 762.60/x
  3. Step 3: Cross multiply
    762.60x = 1,069.80 × 762.60
  4. Step 4: Simplify right side
    762.60x = 815,829.48
  5. Step 5: Solve for x
    x = 815,829.48/762.60
  6. Step 6: Final answer
    x = 1,069.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.