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Finding the Fourth Proportional to 661.19, 989.96 and 498.38

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Solution

The fourth proportional to 661.19, 989.96 and 498.38 is: 746.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.19 : 989.96 = 498.38 : x
  2. Step 2: Convert to fraction form
    661.19/989.96 = 498.38/x
  3. Step 3: Cross multiply
    661.19x = 989.96 × 498.38
  4. Step 4: Simplify right side
    661.19x = 493,376.26
  5. Step 5: Solve for x
    x = 493,376.26/661.19
  6. Step 6: Final answer
    x = 746.19

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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.