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Finding the Fourth Proportional to 826.32, 1,140.96 and 764.10

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Solution

The fourth proportional to 826.32, 1,140.96 and 764.10 is: 1,055.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.32 : 1,140.96 = 764.10 : x
  2. Step 2: Convert to fraction form
    826.32/1,140.96 = 764.10/x
  3. Step 3: Cross multiply
    826.32x = 1,140.96 × 764.10
  4. Step 4: Simplify right side
    826.32x = 871,807.54
  5. Step 5: Solve for x
    x = 871,807.54/826.32
  6. Step 6: Final answer
    x = 1,055.05

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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.