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Finding the Fourth Proportional to 688.01, 949.48 and 389.24

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Solution

The fourth proportional to 688.01, 949.48 and 389.24 is: 537.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.01 : 949.48 = 389.24 : x
  2. Step 2: Convert to fraction form
    688.01/949.48 = 389.24/x
  3. Step 3: Cross multiply
    688.01x = 949.48 × 389.24
  4. Step 4: Simplify right side
    688.01x = 369,568.90
  5. Step 5: Solve for x
    x = 369,568.90/688.01
  6. Step 6: Final answer
    x = 537.16

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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.