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Finding the Fourth Proportional to 703.83, 969.63 and 493.62

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Solution

The fourth proportional to 703.83, 969.63 and 493.62 is: 680.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.83 : 969.63 = 493.62 : x
  2. Step 2: Convert to fraction form
    703.83/969.63 = 493.62/x
  3. Step 3: Cross multiply
    703.83x = 969.63 × 493.62
  4. Step 4: Simplify right side
    703.83x = 478,628.76
  5. Step 5: Solve for x
    x = 478,628.76/703.83
  6. Step 6: Final answer
    x = 680.03

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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.