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Finding the Fourth Proportional to 762.60, 1,148.37 and 666.24

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Solution

The fourth proportional to 762.60, 1,148.37 and 666.24 is: 1,003.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.60 : 1,148.37 = 666.24 : x
  2. Step 2: Convert to fraction form
    762.60/1,148.37 = 666.24/x
  3. Step 3: Cross multiply
    762.60x = 1,148.37 × 666.24
  4. Step 4: Simplify right side
    762.60x = 765,090.03
  5. Step 5: Solve for x
    x = 765,090.03/762.60
  6. Step 6: Final answer
    x = 1,003.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.