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Finding the Fourth Proportional to 732.21, 1,010.23 and 662.05

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Solution

The fourth proportional to 732.21, 1,010.23 and 662.05 is: 913.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.21 : 1,010.23 = 662.05 : x
  2. Step 2: Convert to fraction form
    732.21/1,010.23 = 662.05/x
  3. Step 3: Cross multiply
    732.21x = 1,010.23 × 662.05
  4. Step 4: Simplify right side
    732.21x = 668,822.77
  5. Step 5: Solve for x
    x = 668,822.77/732.21
  6. Step 6: Final answer
    x = 913.43

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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.