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Finding the Fourth Proportional to 534.39, 737.57 and 313.39

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Solution

The fourth proportional to 534.39, 737.57 and 313.39 is: 432.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.39 : 737.57 = 313.39 : x
  2. Step 2: Convert to fraction form
    534.39/737.57 = 313.39/x
  3. Step 3: Cross multiply
    534.39x = 737.57 × 313.39
  4. Step 4: Simplify right side
    534.39x = 231,147.06
  5. Step 5: Solve for x
    x = 231,147.06/534.39
  6. Step 6: Final answer
    x = 432.54

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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.