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Finding the Fourth Proportional to 661.54, 990.16 and 416.86

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Solution

The fourth proportional to 661.54, 990.16 and 416.86 is: 623.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.54 : 990.16 = 416.86 : x
  2. Step 2: Convert to fraction form
    661.54/990.16 = 416.86/x
  3. Step 3: Cross multiply
    661.54x = 990.16 × 416.86
  4. Step 4: Simplify right side
    661.54x = 412,758.10
  5. Step 5: Solve for x
    x = 412,758.10/661.54
  6. Step 6: Final answer
    x = 623.94

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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.