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Finding the Fourth Proportional to 666.24, 1,004.64 and 612.48

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Solution

The fourth proportional to 666.24, 1,004.64 and 612.48 is: 923.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.24 : 1,004.64 = 612.48 : x
  2. Step 2: Convert to fraction form
    666.24/1,004.64 = 612.48/x
  3. Step 3: Cross multiply
    666.24x = 1,004.64 × 612.48
  4. Step 4: Simplify right side
    666.24x = 615,321.91
  5. Step 5: Solve for x
    x = 615,321.91/666.24
  6. Step 6: Final answer
    x = 923.57

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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.