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Finding the Fourth Proportional to 534.51, 737.70 and 313.55

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Solution

The fourth proportional to 534.51, 737.70 and 313.55 is: 432.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.51 : 737.70 = 313.55 : x
  2. Step 2: Convert to fraction form
    534.51/737.70 = 313.55/x
  3. Step 3: Cross multiply
    534.51x = 737.70 × 313.55
  4. Step 4: Simplify right side
    534.51x = 231,304.27
  5. Step 5: Solve for x
    x = 231,304.27/534.51
  6. Step 6: Final answer
    x = 432.74

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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.