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Finding the Fourth Proportional to 570.89, 851.85 and 536.06

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Solution

The fourth proportional to 570.89, 851.85 and 536.06 is: 799.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.89 : 851.85 = 536.06 : x
  2. Step 2: Convert to fraction form
    570.89/851.85 = 536.06/x
  3. Step 3: Cross multiply
    570.89x = 851.85 × 536.06
  4. Step 4: Simplify right side
    570.89x = 456,638.45
  5. Step 5: Solve for x
    x = 456,638.45/570.89
  6. Step 6: Final answer
    x = 799.88

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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.