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Finding the Fourth Proportional to 701.98, 969.42 and 578.86

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Solution

The fourth proportional to 701.98, 969.42 and 578.86 is: 799.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.98 : 969.42 = 578.86 : x
  2. Step 2: Convert to fraction form
    701.98/969.42 = 578.86/x
  3. Step 3: Cross multiply
    701.98x = 969.42 × 578.86
  4. Step 4: Simplify right side
    701.98x = 561,158.46
  5. Step 5: Solve for x
    x = 561,158.46/701.98
  6. Step 6: Final answer
    x = 799.39

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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.