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Finding the Fourth Proportional to 657.37, 986.69 and 414.06

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Solution

The fourth proportional to 657.37, 986.69 and 414.06 is: 621.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.37 : 986.69 = 414.06 : x
  2. Step 2: Convert to fraction form
    657.37/986.69 = 414.06/x
  3. Step 3: Cross multiply
    657.37x = 986.69 × 414.06
  4. Step 4: Simplify right side
    657.37x = 408,548.86
  5. Step 5: Solve for x
    x = 408,548.86/657.37
  6. Step 6: Final answer
    x = 621.49

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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.