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Finding the Fourth Proportional to 570.74, 788.02 and 437.73

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Solution

The fourth proportional to 570.74, 788.02 and 437.73 is: 604.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.74 : 788.02 = 437.73 : x
  2. Step 2: Convert to fraction form
    570.74/788.02 = 437.73/x
  3. Step 3: Cross multiply
    570.74x = 788.02 × 437.73
  4. Step 4: Simplify right side
    570.74x = 344,937.81
  5. Step 5: Solve for x
    x = 344,937.81/570.74
  6. Step 6: Final answer
    x = 604.37

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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.