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Finding the Fourth Proportional to 574.89, 857.55 and 509.28

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Solution

The fourth proportional to 574.89, 857.55 and 509.28 is: 759.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.89 : 857.55 = 509.28 : x
  2. Step 2: Convert to fraction form
    574.89/857.55 = 509.28/x
  3. Step 3: Cross multiply
    574.89x = 857.55 × 509.28
  4. Step 4: Simplify right side
    574.89x = 436,733.06
  5. Step 5: Solve for x
    x = 436,733.06/574.89
  6. Step 6: Final answer
    x = 759.68

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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.