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Finding the Fourth Proportional to 746.04, 1,026.90 and 636.42

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Solution

The fourth proportional to 746.04, 1,026.90 and 636.42 is: 876.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.04 : 1,026.90 = 636.42 : x
  2. Step 2: Convert to fraction form
    746.04/1,026.90 = 636.42/x
  3. Step 3: Cross multiply
    746.04x = 1,026.90 × 636.42
  4. Step 4: Simplify right side
    746.04x = 653,539.70
  5. Step 5: Solve for x
    x = 653,539.70/746.04
  6. Step 6: Final answer
    x = 876.01

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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.