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Finding the Fourth Proportional to 534.11, 734.29 and 530.77

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Solution

The fourth proportional to 534.11, 734.29 and 530.77 is: 729.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.11 : 734.29 = 530.77 : x
  2. Step 2: Convert to fraction form
    534.11/734.29 = 530.77/x
  3. Step 3: Cross multiply
    534.11x = 734.29 × 530.77
  4. Step 4: Simplify right side
    534.11x = 389,742.26
  5. Step 5: Solve for x
    x = 389,742.26/534.11
  6. Step 6: Final answer
    x = 729.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.