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Finding the Fourth Proportional to 660.53, 989.96 and 313.10

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Solution

The fourth proportional to 660.53, 989.96 and 313.10 is: 469.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.53 : 989.96 = 313.10 : x
  2. Step 2: Convert to fraction form
    660.53/989.96 = 313.10/x
  3. Step 3: Cross multiply
    660.53x = 989.96 × 313.10
  4. Step 4: Simplify right side
    660.53x = 309,949.96
  5. Step 5: Solve for x
    x = 309,949.96/660.53
  6. Step 6: Final answer
    x = 469.25

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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.