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Finding the Fourth Proportional to 1,011.50, 1,395.97 and 613.15

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Solution

The fourth proportional to 1,011.50, 1,395.97 and 613.15 is: 846.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.50 : 1,395.97 = 613.15 : x
  2. Step 2: Convert to fraction form
    1,011.50/1,395.97 = 613.15/x
  3. Step 3: Cross multiply
    1,011.50x = 1,395.97 × 613.15
  4. Step 4: Simplify right side
    1,011.50x = 855,939.01
  5. Step 5: Solve for x
    x = 855,939.01/1,011.50
  6. Step 6: Final answer
    x = 846.21

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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.