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Finding the Fourth Proportional to 858.23, 1,184.10 and 578.78

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Solution

The fourth proportional to 858.23, 1,184.10 and 578.78 is: 798.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.23 : 1,184.10 = 578.78 : x
  2. Step 2: Convert to fraction form
    858.23/1,184.10 = 578.78/x
  3. Step 3: Cross multiply
    858.23x = 1,184.10 × 578.78
  4. Step 4: Simplify right side
    858.23x = 685,327.48
  5. Step 5: Solve for x
    x = 685,327.48/858.23
  6. Step 6: Final answer
    x = 798.54

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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.