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Finding the Fourth Proportional to 703.36, 969.60 and 572.14

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Solution

The fourth proportional to 703.36, 969.60 and 572.14 is: 788.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.36 : 969.60 = 572.14 : x
  2. Step 2: Convert to fraction form
    703.36/969.60 = 572.14/x
  3. Step 3: Cross multiply
    703.36x = 969.60 × 572.14
  4. Step 4: Simplify right side
    703.36x = 554,746.94
  5. Step 5: Solve for x
    x = 554,746.94/703.36
  6. Step 6: Final answer
    x = 788.71

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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.