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Finding the Fourth Proportional to 703.17, 969.96 and 585.72

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Solution

The fourth proportional to 703.17, 969.96 and 585.72 is: 807.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.17 : 969.96 = 585.72 : x
  2. Step 2: Convert to fraction form
    703.17/969.96 = 585.72/x
  3. Step 3: Cross multiply
    703.17x = 969.96 × 585.72
  4. Step 4: Simplify right side
    703.17x = 568,124.97
  5. Step 5: Solve for x
    x = 568,124.97/703.17
  6. Step 6: Final answer
    x = 807.95

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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.