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Finding the Fourth Proportional to 688.00, 948.13 and 491.17

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Solution

The fourth proportional to 688.00, 948.13 and 491.17 is: 676.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.00 : 948.13 = 491.17 : x
  2. Step 2: Convert to fraction form
    688.00/948.13 = 491.17/x
  3. Step 3: Cross multiply
    688.00x = 948.13 × 491.17
  4. Step 4: Simplify right side
    688.00x = 465,696.00
  5. Step 5: Solve for x
    x = 465,696.00/688.00
  6. Step 6: Final answer
    x = 676.88

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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.