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Finding the Fourth Proportional to 748.16, 1,032.42 and 433.44

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Solution

The fourth proportional to 748.16, 1,032.42 and 433.44 is: 598.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.16 : 1,032.42 = 433.44 : x
  2. Step 2: Convert to fraction form
    748.16/1,032.42 = 433.44/x
  3. Step 3: Cross multiply
    748.16x = 1,032.42 × 433.44
  4. Step 4: Simplify right side
    748.16x = 447,492.12
  5. Step 5: Solve for x
    x = 447,492.12/748.16
  6. Step 6: Final answer
    x = 598.12

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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.