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Finding the Fourth Proportional to 826.32, 1,140.42 and 477.01

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Solution

The fourth proportional to 826.32, 1,140.42 and 477.01 is: 658.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.32 : 1,140.42 = 477.01 : x
  2. Step 2: Convert to fraction form
    826.32/1,140.42 = 477.01/x
  3. Step 3: Cross multiply
    826.32x = 1,140.42 × 477.01
  4. Step 4: Simplify right side
    826.32x = 543,991.74
  5. Step 5: Solve for x
    x = 543,991.74/826.32
  6. Step 6: Final answer
    x = 658.33

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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.