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Finding the Fourth Proportional to 739.53, 1,021.21 and 688.50

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Solution

The fourth proportional to 739.53, 1,021.21 and 688.50 is: 950.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.53 : 1,021.21 = 688.50 : x
  2. Step 2: Convert to fraction form
    739.53/1,021.21 = 688.50/x
  3. Step 3: Cross multiply
    739.53x = 1,021.21 × 688.50
  4. Step 4: Simplify right side
    739.53x = 703,101.36
  5. Step 5: Solve for x
    x = 703,101.36/739.53
  6. Step 6: Final answer
    x = 950.74

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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.