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Finding the Fourth Proportional to 778.51, 1,070.66 and 619.27

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Solution

The fourth proportional to 778.51, 1,070.66 and 619.27 is: 851.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.51 : 1,070.66 = 619.27 : x
  2. Step 2: Convert to fraction form
    778.51/1,070.66 = 619.27/x
  3. Step 3: Cross multiply
    778.51x = 1,070.66 × 619.27
  4. Step 4: Simplify right side
    778.51x = 663,027.62
  5. Step 5: Solve for x
    x = 663,027.62/778.51
  6. Step 6: Final answer
    x = 851.66

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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.