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Finding the Fourth Proportional to 826.93, 1,141.09 and 472.78

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Solution

The fourth proportional to 826.93, 1,141.09 and 472.78 is: 652.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.93 : 1,141.09 = 472.78 : x
  2. Step 2: Convert to fraction form
    826.93/1,141.09 = 472.78/x
  3. Step 3: Cross multiply
    826.93x = 1,141.09 × 472.78
  4. Step 4: Simplify right side
    826.93x = 539,476.46
  5. Step 5: Solve for x
    x = 539,476.46/826.93
  6. Step 6: Final answer
    x = 652.39

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Half scale
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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.