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Finding the Fourth Proportional to 661.12, 991.14 and 455.74

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Solution

The fourth proportional to 661.12, 991.14 and 455.74 is: 683.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.12 : 991.14 = 455.74 : x
  2. Step 2: Convert to fraction form
    661.12/991.14 = 455.74/x
  3. Step 3: Cross multiply
    661.12x = 991.14 × 455.74
  4. Step 4: Simplify right side
    661.12x = 451,702.14
  5. Step 5: Solve for x
    x = 451,702.14/661.12
  6. Step 6: Final answer
    x = 683.24

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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.