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Finding the Fourth Proportional to 757.02, 1,044.76 and 442.27

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Solution

The fourth proportional to 757.02, 1,044.76 and 442.27 is: 610.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.02 : 1,044.76 = 442.27 : x
  2. Step 2: Convert to fraction form
    757.02/1,044.76 = 442.27/x
  3. Step 3: Cross multiply
    757.02x = 1,044.76 × 442.27
  4. Step 4: Simplify right side
    757.02x = 462,066.01
  5. Step 5: Solve for x
    x = 462,066.01/757.02
  6. Step 6: Final answer
    x = 610.37

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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.