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Finding the Fourth Proportional to 534.37, 737.38 and 313.39

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Solution

The fourth proportional to 534.37, 737.38 and 313.39 is: 432.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.37 : 737.38 = 313.39 : x
  2. Step 2: Convert to fraction form
    534.37/737.38 = 313.39/x
  3. Step 3: Cross multiply
    534.37x = 737.38 × 313.39
  4. Step 4: Simplify right side
    534.37x = 231,090.02
  5. Step 5: Solve for x
    x = 231,090.02/534.37
  6. Step 6: Final answer
    x = 432.45

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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.