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Finding the Fourth Proportional to 499.19, 747.86 and 469.89

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Solution

The fourth proportional to 499.19, 747.86 and 469.89 is: 703.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.19 : 747.86 = 469.89 : x
  2. Step 2: Convert to fraction form
    499.19/747.86 = 469.89/x
  3. Step 3: Cross multiply
    499.19x = 747.86 × 469.89
  4. Step 4: Simplify right side
    499.19x = 351,409.59
  5. Step 5: Solve for x
    x = 351,409.59/499.19
  6. Step 6: Final answer
    x = 703.97

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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.