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Finding the Fourth Proportional to 540.48, 805.98 and 519.48

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Solution

The fourth proportional to 540.48, 805.98 and 519.48 is: 774.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.48 : 805.98 = 519.48 : x
  2. Step 2: Convert to fraction form
    540.48/805.98 = 519.48/x
  3. Step 3: Cross multiply
    540.48x = 805.98 × 519.48
  4. Step 4: Simplify right side
    540.48x = 418,690.49
  5. Step 5: Solve for x
    x = 418,690.49/540.48
  6. Step 6: Final answer
    x = 774.66

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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.