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Finding the Fourth Proportional to 539.65, 812.62 and 523.50

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Solution

The fourth proportional to 539.65, 812.62 and 523.50 is: 788.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.65 : 812.62 = 523.50 : x
  2. Step 2: Convert to fraction form
    539.65/812.62 = 523.50/x
  3. Step 3: Cross multiply
    539.65x = 812.62 × 523.50
  4. Step 4: Simplify right side
    539.65x = 425,406.57
  5. Step 5: Solve for x
    x = 425,406.57/539.65
  6. Step 6: Final answer
    x = 788.30

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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.