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Finding the Fourth Proportional to 535.86, 804.20 and 434.34

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Solution

The fourth proportional to 535.86, 804.20 and 434.34 is: 651.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.86 : 804.20 = 434.34 : x
  2. Step 2: Convert to fraction form
    535.86/804.20 = 434.34/x
  3. Step 3: Cross multiply
    535.86x = 804.20 × 434.34
  4. Step 4: Simplify right side
    535.86x = 349,294.06
  5. Step 5: Solve for x
    x = 349,294.06/535.86
  6. Step 6: Final answer
    x = 651.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.