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Finding the Fourth Proportional to 534.86, 735.79 and 436.40

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Solution

The fourth proportional to 534.86, 735.79 and 436.40 is: 600.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.86 : 735.79 = 436.40 : x
  2. Step 2: Convert to fraction form
    534.86/735.79 = 436.40/x
  3. Step 3: Cross multiply
    534.86x = 735.79 × 436.40
  4. Step 4: Simplify right side
    534.86x = 321,093.99
  5. Step 5: Solve for x
    x = 321,093.99/534.86
  6. Step 6: Final answer
    x = 600.34

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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.