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Finding the Fourth Proportional to 762.80, 1,050.36 and 720.08

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Solution

The fourth proportional to 762.80, 1,050.36 and 720.08 is: 991.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.80 : 1,050.36 = 720.08 : x
  2. Step 2: Convert to fraction form
    762.80/1,050.36 = 720.08/x
  3. Step 3: Cross multiply
    762.80x = 1,050.36 × 720.08
  4. Step 4: Simplify right side
    762.80x = 756,343.23
  5. Step 5: Solve for x
    x = 756,343.23/762.80
  6. Step 6: Final answer
    x = 991.54

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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.