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Finding the Fourth Proportional to 1,011.26, 1,395.61 and 613.02

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Solution

The fourth proportional to 1,011.26, 1,395.61 and 613.02 is: 846.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.26 : 1,395.61 = 613.02 : x
  2. Step 2: Convert to fraction form
    1,011.26/1,395.61 = 613.02/x
  3. Step 3: Cross multiply
    1,011.26x = 1,395.61 × 613.02
  4. Step 4: Simplify right side
    1,011.26x = 855,536.84
  5. Step 5: Solve for x
    x = 855,536.84/1,011.26
  6. Step 6: Final answer
    x = 846.01

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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.