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Finding the Fourth Proportional to 661.71, 993.15 and 478.23

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Solution

The fourth proportional to 661.71, 993.15 and 478.23 is: 717.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.71 : 993.15 = 478.23 : x
  2. Step 2: Convert to fraction form
    661.71/993.15 = 478.23/x
  3. Step 3: Cross multiply
    661.71x = 993.15 × 478.23
  4. Step 4: Simplify right side
    661.71x = 474,954.12
  5. Step 5: Solve for x
    x = 474,954.12/661.71
  6. Step 6: Final answer
    x = 717.77

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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.