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Finding the Fourth Proportional to 1,148.21, 1,720.95 and 660.25

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Solution

The fourth proportional to 1,148.21, 1,720.95 and 660.25 is: 989.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.21 : 1,720.95 = 660.25 : x
  2. Step 2: Convert to fraction form
    1,148.21/1,720.95 = 660.25/x
  3. Step 3: Cross multiply
    1,148.21x = 1,720.95 × 660.25
  4. Step 4: Simplify right side
    1,148.21x = 1,136,256.91
  5. Step 5: Solve for x
    x = 1,136,256.91/1,148.21
  6. Step 6: Final answer
    x = 989.59

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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.