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Finding the Fourth Proportional to 539.84, 804.64 and 525.20

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Solution

The fourth proportional to 539.84, 804.64 and 525.20 is: 782.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.84 : 804.64 = 525.20 : x
  2. Step 2: Convert to fraction form
    539.84/804.64 = 525.20/x
  3. Step 3: Cross multiply
    539.84x = 804.64 × 525.20
  4. Step 4: Simplify right side
    539.84x = 422,596.93
  5. Step 5: Solve for x
    x = 422,596.93/539.84
  6. Step 6: Final answer
    x = 782.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.