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Finding the Fourth Proportional to 622.29, 931.64 and 468.86

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Solution

The fourth proportional to 622.29, 931.64 and 468.86 is: 701.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.29 : 931.64 = 468.86 : x
  2. Step 2: Convert to fraction form
    622.29/931.64 = 468.86/x
  3. Step 3: Cross multiply
    622.29x = 931.64 × 468.86
  4. Step 4: Simplify right side
    622.29x = 436,808.72
  5. Step 5: Solve for x
    x = 436,808.72/622.29
  6. Step 6: Final answer
    x = 701.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.