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Finding the Fourth Proportional to 733.21, 1,010.36 and 522.79

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Solution

The fourth proportional to 733.21, 1,010.36 and 522.79 is: 720.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.21 : 1,010.36 = 522.79 : x
  2. Step 2: Convert to fraction form
    733.21/1,010.36 = 522.79/x
  3. Step 3: Cross multiply
    733.21x = 1,010.36 × 522.79
  4. Step 4: Simplify right side
    733.21x = 528,204.89
  5. Step 5: Solve for x
    x = 528,204.89/733.21
  6. Step 6: Final answer
    x = 720.40

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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.