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Finding the Fourth Proportional to 570.56, 851.06 and 478.24

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Solution

The fourth proportional to 570.56, 851.06 and 478.24 is: 713.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.56 : 851.06 = 478.24 : x
  2. Step 2: Convert to fraction form
    570.56/851.06 = 478.24/x
  3. Step 3: Cross multiply
    570.56x = 851.06 × 478.24
  4. Step 4: Simplify right side
    570.56x = 407,010.93
  5. Step 5: Solve for x
    x = 407,010.93/570.56
  6. Step 6: Final answer
    x = 713.35

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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.