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Finding the Fourth Proportional to 1,082.19, 1,493.70 and 640.23

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Solution

The fourth proportional to 1,082.19, 1,493.70 and 640.23 is: 883.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.19 : 1,493.70 = 640.23 : x
  2. Step 2: Convert to fraction form
    1,082.19/1,493.70 = 640.23/x
  3. Step 3: Cross multiply
    1,082.19x = 1,493.70 × 640.23
  4. Step 4: Simplify right side
    1,082.19x = 956,311.55
  5. Step 5: Solve for x
    x = 956,311.55/1,082.19
  6. Step 6: Final answer
    x = 883.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.