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Finding the Fourth Proportional to 539.40, 805.20 and 503.34

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Solution

The fourth proportional to 539.40, 805.20 and 503.34 is: 751.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.40 : 805.20 = 503.34 : x
  2. Step 2: Convert to fraction form
    539.40/805.20 = 503.34/x
  3. Step 3: Cross multiply
    539.40x = 805.20 × 503.34
  4. Step 4: Simplify right side
    539.40x = 405,289.37
  5. Step 5: Solve for x
    x = 405,289.37/539.40
  6. Step 6: Final answer
    x = 751.37

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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.