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Finding the Fourth Proportional to 534.57, 737.71 and 313.48

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Solution

The fourth proportional to 534.57, 737.71 and 313.48 is: 432.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.57 : 737.71 = 313.48 : x
  2. Step 2: Convert to fraction form
    534.57/737.71 = 313.48/x
  3. Step 3: Cross multiply
    534.57x = 737.71 × 313.48
  4. Step 4: Simplify right side
    534.57x = 231,259.54
  5. Step 5: Solve for x
    x = 231,259.54/534.57
  6. Step 6: Final answer
    x = 432.60

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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.