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Finding the Fourth Proportional to 669.56, 924.18 and 420.80

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Solution

The fourth proportional to 669.56, 924.18 and 420.80 is: 580.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.56 : 924.18 = 420.80 : x
  2. Step 2: Convert to fraction form
    669.56/924.18 = 420.80/x
  3. Step 3: Cross multiply
    669.56x = 924.18 × 420.80
  4. Step 4: Simplify right side
    669.56x = 388,894.94
  5. Step 5: Solve for x
    x = 388,894.94/669.56
  6. Step 6: Final answer
    x = 580.82

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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.