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Finding the Fourth Proportional to 619.70, 933.22 and 539.50

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Solution

The fourth proportional to 619.70, 933.22 and 539.50 is: 812.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.70 : 933.22 = 539.50 : x
  2. Step 2: Convert to fraction form
    619.70/933.22 = 539.50/x
  3. Step 3: Cross multiply
    619.70x = 933.22 × 539.50
  4. Step 4: Simplify right side
    619.70x = 503,472.19
  5. Step 5: Solve for x
    x = 503,472.19/619.70
  6. Step 6: Final answer
    x = 812.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.