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Finding the Fourth Proportional to 701.64, 968.23 and 402.68

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Solution

The fourth proportional to 701.64, 968.23 and 402.68 is: 555.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.64 : 968.23 = 402.68 : x
  2. Step 2: Convert to fraction form
    701.64/968.23 = 402.68/x
  3. Step 3: Cross multiply
    701.64x = 968.23 × 402.68
  4. Step 4: Simplify right side
    701.64x = 389,885.92
  5. Step 5: Solve for x
    x = 389,885.92/701.64
  6. Step 6: Final answer
    x = 555.68

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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.