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Finding the Fourth Proportional to 669.88, 924.51 and 421.39

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Solution

The fourth proportional to 669.88, 924.51 and 421.39 is: 581.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.88 : 924.51 = 421.39 : x
  2. Step 2: Convert to fraction form
    669.88/924.51 = 421.39/x
  3. Step 3: Cross multiply
    669.88x = 924.51 × 421.39
  4. Step 4: Simplify right side
    669.88x = 389,579.27
  5. Step 5: Solve for x
    x = 389,579.27/669.88
  6. Step 6: Final answer
    x = 581.57

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1.5x scale

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.