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Finding the Fourth Proportional to 1,362.18, 1,879.70 and 772.77

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Solution

The fourth proportional to 1,362.18, 1,879.70 and 772.77 is: 1,066.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.18 : 1,879.70 = 772.77 : x
  2. Step 2: Convert to fraction form
    1,362.18/1,879.70 = 772.77/x
  3. Step 3: Cross multiply
    1,362.18x = 1,879.70 × 772.77
  4. Step 4: Simplify right side
    1,362.18x = 1,452,571.91
  5. Step 5: Solve for x
    x = 1,452,571.91/1,362.18
  6. Step 6: Final answer
    x = 1,066.36

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1.5x scale

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.