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Finding the Fourth Proportional to 661.64, 992.91 and 417.92

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Solution

The fourth proportional to 661.64, 992.91 and 417.92 is: 627.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.64 : 992.91 = 417.92 : x
  2. Step 2: Convert to fraction form
    661.64/992.91 = 417.92/x
  3. Step 3: Cross multiply
    661.64x = 992.91 × 417.92
  4. Step 4: Simplify right side
    661.64x = 414,956.95
  5. Step 5: Solve for x
    x = 414,956.95/661.64
  6. Step 6: Final answer
    x = 627.16

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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.