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Finding the Fourth Proportional to 743.90, 1,026.56 and 433.38

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Solution

The fourth proportional to 743.90, 1,026.56 and 433.38 is: 598.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.90 : 1,026.56 = 433.38 : x
  2. Step 2: Convert to fraction form
    743.90/1,026.56 = 433.38/x
  3. Step 3: Cross multiply
    743.90x = 1,026.56 × 433.38
  4. Step 4: Simplify right side
    743.90x = 444,884.36
  5. Step 5: Solve for x
    x = 444,884.36/743.90
  6. Step 6: Final answer
    x = 598.05

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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.