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Finding the Fourth Proportional to 666.74, 998.59 and 460.37

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Solution

The fourth proportional to 666.74, 998.59 and 460.37 is: 689.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.74 : 998.59 = 460.37 : x
  2. Step 2: Convert to fraction form
    666.74/998.59 = 460.37/x
  3. Step 3: Cross multiply
    666.74x = 998.59 × 460.37
  4. Step 4: Simplify right side
    666.74x = 459,720.88
  5. Step 5: Solve for x
    x = 459,720.88/666.74
  6. Step 6: Final answer
    x = 689.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.