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Finding the Fourth Proportional to 826.76, 1,141.42 and 618.09

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Solution

The fourth proportional to 826.76, 1,141.42 and 618.09 is: 853.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.76 : 1,141.42 = 618.09 : x
  2. Step 2: Convert to fraction form
    826.76/1,141.42 = 618.09/x
  3. Step 3: Cross multiply
    826.76x = 1,141.42 × 618.09
  4. Step 4: Simplify right side
    826.76x = 705,500.29
  5. Step 5: Solve for x
    x = 705,500.29/826.76
  6. Step 6: Final answer
    x = 853.33

Related Problems

Find fourth proportional to 413.38, 570.71 and 309.05
Half scale
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Double scale
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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.