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Finding the Fourth Proportional to 669.72, 924.30 and 421.14

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Solution

The fourth proportional to 669.72, 924.30 and 421.14 is: 581.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.72 : 924.30 = 421.14 : x
  2. Step 2: Convert to fraction form
    669.72/924.30 = 421.14/x
  3. Step 3: Cross multiply
    669.72x = 924.30 × 421.14
  4. Step 4: Simplify right side
    669.72x = 389,259.70
  5. Step 5: Solve for x
    x = 389,259.70/669.72
  6. Step 6: Final answer
    x = 581.23

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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.