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Finding the Fourth Proportional to 1,328.14, 1,989.74 and 669.24

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Solution

The fourth proportional to 1,328.14, 1,989.74 and 669.24 is: 1,002.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.14 : 1,989.74 = 669.24 : x
  2. Step 2: Convert to fraction form
    1,328.14/1,989.74 = 669.24/x
  3. Step 3: Cross multiply
    1,328.14x = 1,989.74 × 669.24
  4. Step 4: Simplify right side
    1,328.14x = 1,331,613.60
  5. Step 5: Solve for x
    x = 1,331,613.60/1,328.14
  6. Step 6: Final answer
    x = 1,002.62

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1.5x scale

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.