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Finding the Fourth Proportional to 504.48, 760.85 and 499.02

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Solution

The fourth proportional to 504.48, 760.85 and 499.02 is: 752.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.48 : 760.85 = 499.02 : x
  2. Step 2: Convert to fraction form
    504.48/760.85 = 499.02/x
  3. Step 3: Cross multiply
    504.48x = 760.85 × 499.02
  4. Step 4: Simplify right side
    504.48x = 379,676.87
  5. Step 5: Solve for x
    x = 379,676.87/504.48
  6. Step 6: Final answer
    x = 752.61

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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.