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Finding the Fourth Proportional to 826.83, 1,140.89 and 472.70

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Solution

The fourth proportional to 826.83, 1,140.89 and 472.70 is: 652.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.83 : 1,140.89 = 472.70 : x
  2. Step 2: Convert to fraction form
    826.83/1,140.89 = 472.70/x
  3. Step 3: Cross multiply
    826.83x = 1,140.89 × 472.70
  4. Step 4: Simplify right side
    826.83x = 539,299.19
  5. Step 5: Solve for x
    x = 539,299.19/826.83
  6. Step 6: Final answer
    x = 652.25

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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.