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Finding the Fourth Proportional to 703.54, 969.33 and 572.32

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Solution

The fourth proportional to 703.54, 969.33 and 572.32 is: 788.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.54 : 969.33 = 572.32 : x
  2. Step 2: Convert to fraction form
    703.54/969.33 = 572.32/x
  3. Step 3: Cross multiply
    703.54x = 969.33 × 572.32
  4. Step 4: Simplify right side
    703.54x = 554,766.95
  5. Step 5: Solve for x
    x = 554,766.95/703.54
  6. Step 6: Final answer
    x = 788.54

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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.