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Finding the Fourth Proportional to 635.84, 948.23 and 554.03

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Solution

The fourth proportional to 635.84, 948.23 and 554.03 is: 826.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.84 : 948.23 = 554.03 : x
  2. Step 2: Convert to fraction form
    635.84/948.23 = 554.03/x
  3. Step 3: Cross multiply
    635.84x = 948.23 × 554.03
  4. Step 4: Simplify right side
    635.84x = 525,344.51
  5. Step 5: Solve for x
    x = 525,344.51/635.84
  6. Step 6: Final answer
    x = 826.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.