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Finding the Fourth Proportional to 762.48, 1,052.45 and 479.04

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Solution

The fourth proportional to 762.48, 1,052.45 and 479.04 is: 661.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.48 : 1,052.45 = 479.04 : x
  2. Step 2: Convert to fraction form
    762.48/1,052.45 = 479.04/x
  3. Step 3: Cross multiply
    762.48x = 1,052.45 × 479.04
  4. Step 4: Simplify right side
    762.48x = 504,163.25
  5. Step 5: Solve for x
    x = 504,163.25/762.48
  6. Step 6: Final answer
    x = 661.22

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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.