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Finding the Fourth Proportional to 826.47, 1,140.57 and 472.41

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Solution

The fourth proportional to 826.47, 1,140.57 and 472.41 is: 651.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.47 : 1,140.57 = 472.41 : x
  2. Step 2: Convert to fraction form
    826.47/1,140.57 = 472.41/x
  3. Step 3: Cross multiply
    826.47x = 1,140.57 × 472.41
  4. Step 4: Simplify right side
    826.47x = 538,816.67
  5. Step 5: Solve for x
    x = 538,816.67/826.47
  6. Step 6: Final answer
    x = 651.95

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Double scale
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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.