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Finding the Fourth Proportional to 539.14, 802.90 and 520.91

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Solution

The fourth proportional to 539.14, 802.90 and 520.91 is: 775.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.14 : 802.90 = 520.91 : x
  2. Step 2: Convert to fraction form
    539.14/802.90 = 520.91/x
  3. Step 3: Cross multiply
    539.14x = 802.90 × 520.91
  4. Step 4: Simplify right side
    539.14x = 418,238.64
  5. Step 5: Solve for x
    x = 418,238.64/539.14
  6. Step 6: Final answer
    x = 775.76

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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.