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Finding the Fourth Proportional to 743.62, 1,025.96 and 433.06

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Solution

The fourth proportional to 743.62, 1,025.96 and 433.06 is: 597.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.62 : 1,025.96 = 433.06 : x
  2. Step 2: Convert to fraction form
    743.62/1,025.96 = 433.06/x
  3. Step 3: Cross multiply
    743.62x = 1,025.96 × 433.06
  4. Step 4: Simplify right side
    743.62x = 444,302.24
  5. Step 5: Solve for x
    x = 444,302.24/743.62
  6. Step 6: Final answer
    x = 597.49

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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.