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Finding the Fourth Proportional to 469.13, 647.69 and 419.92

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Solution

The fourth proportional to 469.13, 647.69 and 419.92 is: 579.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.13 : 647.69 = 419.92 : x
  2. Step 2: Convert to fraction form
    469.13/647.69 = 419.92/x
  3. Step 3: Cross multiply
    469.13x = 647.69 × 419.92
  4. Step 4: Simplify right side
    469.13x = 271,977.98
  5. Step 5: Solve for x
    x = 271,977.98/469.13
  6. Step 6: Final answer
    x = 579.75

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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.