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Finding the Fourth Proportional to 826.90, 1,141.14 and 477.58

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Solution

The fourth proportional to 826.90, 1,141.14 and 477.58 is: 659.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.90 : 1,141.14 = 477.58 : x
  2. Step 2: Convert to fraction form
    826.90/1,141.14 = 477.58/x
  3. Step 3: Cross multiply
    826.90x = 1,141.14 × 477.58
  4. Step 4: Simplify right side
    826.90x = 544,985.64
  5. Step 5: Solve for x
    x = 544,985.64/826.90
  6. Step 6: Final answer
    x = 659.07

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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.