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Finding the Fourth Proportional to 739.64, 1,021.74 and 533.72

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Solution

The fourth proportional to 739.64, 1,021.74 and 533.72 is: 737.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.64 : 1,021.74 = 533.72 : x
  2. Step 2: Convert to fraction form
    739.64/1,021.74 = 533.72/x
  3. Step 3: Cross multiply
    739.64x = 1,021.74 × 533.72
  4. Step 4: Simplify right side
    739.64x = 545,323.07
  5. Step 5: Solve for x
    x = 545,323.07/739.64
  6. Step 6: Final answer
    x = 737.28

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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.