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Finding the Fourth Proportional to 661.50, 992.52 and 414.18

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Solution

The fourth proportional to 661.50, 992.52 and 414.18 is: 621.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.50 : 992.52 = 414.18 : x
  2. Step 2: Convert to fraction form
    661.50/992.52 = 414.18/x
  3. Step 3: Cross multiply
    661.50x = 992.52 × 414.18
  4. Step 4: Simplify right side
    661.50x = 411,081.93
  5. Step 5: Solve for x
    x = 411,081.93/661.50
  6. Step 6: Final answer
    x = 621.44

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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.