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Finding the Fourth Proportional to 671.76, 933.24 and 665.76

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Solution

The fourth proportional to 671.76, 933.24 and 665.76 is: 924.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.76 : 933.24 = 665.76 : x
  2. Step 2: Convert to fraction form
    671.76/933.24 = 665.76/x
  3. Step 3: Cross multiply
    671.76x = 933.24 × 665.76
  4. Step 4: Simplify right side
    671.76x = 621,313.86
  5. Step 5: Solve for x
    x = 621,313.86/671.76
  6. Step 6: Final answer
    x = 924.90

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.