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Finding the Fourth Proportional to 661.55, 993.86 and 415.52

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Solution

The fourth proportional to 661.55, 993.86 and 415.52 is: 624.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.55 : 993.86 = 415.52 : x
  2. Step 2: Convert to fraction form
    661.55/993.86 = 415.52/x
  3. Step 3: Cross multiply
    661.55x = 993.86 × 415.52
  4. Step 4: Simplify right side
    661.55x = 412,968.71
  5. Step 5: Solve for x
    x = 412,968.71/661.55
  6. Step 6: Final answer
    x = 624.24

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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.