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Finding the Fourth Proportional to 574.73, 857.89 and 526.03

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Solution

The fourth proportional to 574.73, 857.89 and 526.03 is: 785.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.73 : 857.89 = 526.03 : x
  2. Step 2: Convert to fraction form
    574.73/857.89 = 526.03/x
  3. Step 3: Cross multiply
    574.73x = 857.89 × 526.03
  4. Step 4: Simplify right side
    574.73x = 451,274.39
  5. Step 5: Solve for x
    x = 451,274.39/574.73
  6. Step 6: Final answer
    x = 785.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.