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Finding the Fourth Proportional to 486.60, 669.84 and 424.08

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Solution

The fourth proportional to 486.60, 669.84 and 424.08 is: 583.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.60 : 669.84 = 424.08 : x
  2. Step 2: Convert to fraction form
    486.60/669.84 = 424.08/x
  3. Step 3: Cross multiply
    486.60x = 669.84 × 424.08
  4. Step 4: Simplify right side
    486.60x = 284,065.75
  5. Step 5: Solve for x
    x = 284,065.75/486.60
  6. Step 6: Final answer
    x = 583.78

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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.