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Finding the Fourth Proportional to 539.86, 808.12 and 436.28

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Solution

The fourth proportional to 539.86, 808.12 and 436.28 is: 653.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.86 : 808.12 = 436.28 : x
  2. Step 2: Convert to fraction form
    539.86/808.12 = 436.28/x
  3. Step 3: Cross multiply
    539.86x = 808.12 × 436.28
  4. Step 4: Simplify right side
    539.86x = 352,564.41
  5. Step 5: Solve for x
    x = 352,564.41/539.86
  6. Step 6: Final answer
    x = 653.07

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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.