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Finding the Fourth Proportional to 534.44, 731.65 and 530.84

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Solution

The fourth proportional to 534.44, 731.65 and 530.84 is: 726.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.44 : 731.65 = 530.84 : x
  2. Step 2: Convert to fraction form
    534.44/731.65 = 530.84/x
  3. Step 3: Cross multiply
    534.44x = 731.65 × 530.84
  4. Step 4: Simplify right side
    534.44x = 388,389.09
  5. Step 5: Solve for x
    x = 388,389.09/534.44
  6. Step 6: Final answer
    x = 726.72

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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.