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Finding the Fourth Proportional to 574.47, 857.54 and 505.28

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Solution

The fourth proportional to 574.47, 857.54 and 505.28 is: 754.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.47 : 857.54 = 505.28 : x
  2. Step 2: Convert to fraction form
    574.47/857.54 = 505.28/x
  3. Step 3: Cross multiply
    574.47x = 857.54 × 505.28
  4. Step 4: Simplify right side
    574.47x = 433,295.28
  5. Step 5: Solve for x
    x = 433,295.28/574.47
  6. Step 6: Final answer
    x = 754.25

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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.