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Finding the Fourth Proportional to 495.76, 744.79 and 469.19

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Solution

The fourth proportional to 495.76, 744.79 and 469.19 is: 704.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.76 : 744.79 = 469.19 : x
  2. Step 2: Convert to fraction form
    495.76/744.79 = 469.19/x
  3. Step 3: Cross multiply
    495.76x = 744.79 × 469.19
  4. Step 4: Simplify right side
    495.76x = 349,448.02
  5. Step 5: Solve for x
    x = 349,448.02/495.76
  6. Step 6: Final answer
    x = 704.87

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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.