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Finding the Fourth Proportional to 669.25, 924.14 and 420.99

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Solution

The fourth proportional to 669.25, 924.14 and 420.99 is: 581.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.25 : 924.14 = 420.99 : x
  2. Step 2: Convert to fraction form
    669.25/924.14 = 420.99/x
  3. Step 3: Cross multiply
    669.25x = 924.14 × 420.99
  4. Step 4: Simplify right side
    669.25x = 389,053.70
  5. Step 5: Solve for x
    x = 389,053.70/669.25
  6. Step 6: Final answer
    x = 581.33

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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.