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Finding the Fourth Proportional to 573.76, 792.48 and 499.84

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Solution

The fourth proportional to 573.76, 792.48 and 499.84 is: 690.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.76 : 792.48 = 499.84 : x
  2. Step 2: Convert to fraction form
    573.76/792.48 = 499.84/x
  3. Step 3: Cross multiply
    573.76x = 792.48 × 499.84
  4. Step 4: Simplify right side
    573.76x = 396,113.20
  5. Step 5: Solve for x
    x = 396,113.20/573.76
  6. Step 6: Final answer
    x = 690.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.