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Finding the Fourth Proportional to 826.14, 1,140.72 and 618.69

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Solution

The fourth proportional to 826.14, 1,140.72 and 618.69 is: 854.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.14 : 1,140.72 = 618.69 : x
  2. Step 2: Convert to fraction form
    826.14/1,140.72 = 618.69/x
  3. Step 3: Cross multiply
    826.14x = 1,140.72 × 618.69
  4. Step 4: Simplify right side
    826.14x = 705,752.06
  5. Step 5: Solve for x
    x = 705,752.06/826.14
  6. Step 6: Final answer
    x = 854.28

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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.