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Finding the Fourth Proportional to 748.02, 1,032.39 and 433.43

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Solution

The fourth proportional to 748.02, 1,032.39 and 433.43 is: 598.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.02 : 1,032.39 = 433.43 : x
  2. Step 2: Convert to fraction form
    748.02/1,032.39 = 433.43/x
  3. Step 3: Cross multiply
    748.02x = 1,032.39 × 433.43
  4. Step 4: Simplify right side
    748.02x = 447,463.64
  5. Step 5: Solve for x
    x = 447,463.64/748.02
  6. Step 6: Final answer
    x = 598.20

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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.