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Finding the Fourth Proportional to 779.33, 1,162.53 and 756.52

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Solution

The fourth proportional to 779.33, 1,162.53 and 756.52 is: 1,128.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.33 : 1,162.53 = 756.52 : x
  2. Step 2: Convert to fraction form
    779.33/1,162.53 = 756.52/x
  3. Step 3: Cross multiply
    779.33x = 1,162.53 × 756.52
  4. Step 4: Simplify right side
    779.33x = 879,477.20
  5. Step 5: Solve for x
    x = 879,477.20/779.33
  6. Step 6: Final answer
    x = 1,128.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.