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Finding the Fourth Proportional to 570.39, 786.43 and 476.00

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Solution

The fourth proportional to 570.39, 786.43 and 476.00 is: 656.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.39 : 786.43 = 476.00 : x
  2. Step 2: Convert to fraction form
    570.39/786.43 = 476.00/x
  3. Step 3: Cross multiply
    570.39x = 786.43 × 476.00
  4. Step 4: Simplify right side
    570.39x = 374,343.73
  5. Step 5: Solve for x
    x = 374,343.73/570.39
  6. Step 6: Final answer
    x = 656.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.