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Finding the Fourth Proportional to 665.88, 1,002.36 and 512.64

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Solution

The fourth proportional to 665.88, 1,002.36 and 512.64 is: 771.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.88 : 1,002.36 = 512.64 : x
  2. Step 2: Convert to fraction form
    665.88/1,002.36 = 512.64/x
  3. Step 3: Cross multiply
    665.88x = 1,002.36 × 512.64
  4. Step 4: Simplify right side
    665.88x = 513,849.83
  5. Step 5: Solve for x
    x = 513,849.83/665.88
  6. Step 6: Final answer
    x = 771.69

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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.