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Finding the Fourth Proportional to 534.03, 734.82 and 520.47

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Solution

The fourth proportional to 534.03, 734.82 and 520.47 is: 716.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.03 : 734.82 = 520.47 : x
  2. Step 2: Convert to fraction form
    534.03/734.82 = 520.47/x
  3. Step 3: Cross multiply
    534.03x = 734.82 × 520.47
  4. Step 4: Simplify right side
    534.03x = 382,451.77
  5. Step 5: Solve for x
    x = 382,451.77/534.03
  6. Step 6: Final answer
    x = 716.16

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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.