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Finding the Fourth Proportional to 1,011.80, 1,396.24 and 613.57

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Solution

The fourth proportional to 1,011.80, 1,396.24 and 613.57 is: 846.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.80 : 1,396.24 = 613.57 : x
  2. Step 2: Convert to fraction form
    1,011.80/1,396.24 = 613.57/x
  3. Step 3: Cross multiply
    1,011.80x = 1,396.24 × 613.57
  4. Step 4: Simplify right side
    1,011.80x = 856,690.98
  5. Step 5: Solve for x
    x = 856,690.98/1,011.80
  6. Step 6: Final answer
    x = 846.70

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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.