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Finding the Fourth Proportional to 732.48, 1,010.40 and 536.28

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Solution

The fourth proportional to 732.48, 1,010.40 and 536.28 is: 739.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.48 : 1,010.40 = 536.28 : x
  2. Step 2: Convert to fraction form
    732.48/1,010.40 = 536.28/x
  3. Step 3: Cross multiply
    732.48x = 1,010.40 × 536.28
  4. Step 4: Simplify right side
    732.48x = 541,857.31
  5. Step 5: Solve for x
    x = 541,857.31/732.48
  6. Step 6: Final answer
    x = 739.76

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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.