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Finding the Fourth Proportional to 574.41, 857.81 and 501.51

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Solution

The fourth proportional to 574.41, 857.81 and 501.51 is: 748.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.41 : 857.81 = 501.51 : x
  2. Step 2: Convert to fraction form
    574.41/857.81 = 501.51/x
  3. Step 3: Cross multiply
    574.41x = 857.81 × 501.51
  4. Step 4: Simplify right side
    574.41x = 430,200.29
  5. Step 5: Solve for x
    x = 430,200.29/574.41
  6. Step 6: Final answer
    x = 748.94

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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.