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Finding the Fourth Proportional to 661.20, 989.16 and 372.84

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Solution

The fourth proportional to 661.20, 989.16 and 372.84 is: 557.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.20 : 989.16 = 372.84 : x
  2. Step 2: Convert to fraction form
    661.20/989.16 = 372.84/x
  3. Step 3: Cross multiply
    661.20x = 989.16 × 372.84
  4. Step 4: Simplify right side
    661.20x = 368,798.41
  5. Step 5: Solve for x
    x = 368,798.41/661.20
  6. Step 6: Final answer
    x = 557.77

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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.