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Finding the Fourth Proportional to 703.68, 1,051.83 and 496.86

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Solution

The fourth proportional to 703.68, 1,051.83 and 496.86 is: 742.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.68 : 1,051.83 = 496.86 : x
  2. Step 2: Convert to fraction form
    703.68/1,051.83 = 496.86/x
  3. Step 3: Cross multiply
    703.68x = 1,051.83 × 496.86
  4. Step 4: Simplify right side
    703.68x = 522,612.25
  5. Step 5: Solve for x
    x = 522,612.25/703.68
  6. Step 6: Final answer
    x = 742.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.