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Finding the Fourth Proportional to 661.15, 992.94 and 417.74

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Solution

The fourth proportional to 661.15, 992.94 and 417.74 is: 627.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.15 : 992.94 = 417.74 : x
  2. Step 2: Convert to fraction form
    661.15/992.94 = 417.74/x
  3. Step 3: Cross multiply
    661.15x = 992.94 × 417.74
  4. Step 4: Simplify right side
    661.15x = 414,788.67
  5. Step 5: Solve for x
    x = 414,788.67/661.15
  6. Step 6: Final answer
    x = 627.38

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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.