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Finding the Fourth Proportional to 572.85, 857.45 and 298.56

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Solution

The fourth proportional to 572.85, 857.45 and 298.56 is: 446.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.85 : 857.45 = 298.56 : x
  2. Step 2: Convert to fraction form
    572.85/857.45 = 298.56/x
  3. Step 3: Cross multiply
    572.85x = 857.45 × 298.56
  4. Step 4: Simplify right side
    572.85x = 256,004.23
  5. Step 5: Solve for x
    x = 256,004.23/572.85
  6. Step 6: Final answer
    x = 446.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.