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Finding the Fourth Proportional to 826.21, 1,140.38 and 560.53

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Solution

The fourth proportional to 826.21, 1,140.38 and 560.53 is: 773.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.21 : 1,140.38 = 560.53 : x
  2. Step 2: Convert to fraction form
    826.21/1,140.38 = 560.53/x
  3. Step 3: Cross multiply
    826.21x = 1,140.38 × 560.53
  4. Step 4: Simplify right side
    826.21x = 639,217.20
  5. Step 5: Solve for x
    x = 639,217.20/826.21
  6. Step 6: Final answer
    x = 773.67

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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.