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Finding the Fourth Proportional to 661, 989.06 and 416.40

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Solution

The fourth proportional to 661, 989.06 and 416.40 is: 623.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    661 : 989.06 = 416.40 : x
  2. Step 2: Convert to fraction form
    661/989.06 = 416.40/x
  3. Step 3: Cross multiply
    661x = 989.06 × 416.40
  4. Step 4: Simplify right side
    661x = 411,844.58
  5. Step 5: Solve for x
    x = 411,844.58/661
  6. Step 6: Final answer
    x = 623.06

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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.