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Finding the Fourth Proportional to 733.01, 1,010.09 and 522.81

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Solution

The fourth proportional to 733.01, 1,010.09 and 522.81 is: 720.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.01 : 1,010.09 = 522.81 : x
  2. Step 2: Convert to fraction form
    733.01/1,010.09 = 522.81/x
  3. Step 3: Cross multiply
    733.01x = 1,010.09 × 522.81
  4. Step 4: Simplify right side
    733.01x = 528,082.54
  5. Step 5: Solve for x
    x = 528,082.54/733.01
  6. Step 6: Final answer
    x = 720.44

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1.5x scale

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.