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Finding the Fourth Proportional to 669.96, 1,008.65 and 524.49

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Solution

The fourth proportional to 669.96, 1,008.65 and 524.49 is: 789.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.96 : 1,008.65 = 524.49 : x
  2. Step 2: Convert to fraction form
    669.96/1,008.65 = 524.49/x
  3. Step 3: Cross multiply
    669.96x = 1,008.65 × 524.49
  4. Step 4: Simplify right side
    669.96x = 529,024.22
  5. Step 5: Solve for x
    x = 529,024.22/669.96
  6. Step 6: Final answer
    x = 789.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.