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Finding the Fourth Proportional to 539.88, 810.66 and 525.30

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Solution

The fourth proportional to 539.88, 810.66 and 525.30 is: 788.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.88 : 810.66 = 525.30 : x
  2. Step 2: Convert to fraction form
    539.88/810.66 = 525.30/x
  3. Step 3: Cross multiply
    539.88x = 810.66 × 525.30
  4. Step 4: Simplify right side
    539.88x = 425,839.70
  5. Step 5: Solve for x
    x = 425,839.70/539.88
  6. Step 6: Final answer
    x = 788.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.