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Finding the Fourth Proportional to 779.78, 1,074.62 and 558.35

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Solution

The fourth proportional to 779.78, 1,074.62 and 558.35 is: 769.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.78 : 1,074.62 = 558.35 : x
  2. Step 2: Convert to fraction form
    779.78/1,074.62 = 558.35/x
  3. Step 3: Cross multiply
    779.78x = 1,074.62 × 558.35
  4. Step 4: Simplify right side
    779.78x = 600,011.29
  5. Step 5: Solve for x
    x = 600,011.29/779.78
  6. Step 6: Final answer
    x = 769.46

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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.