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Finding the Fourth Proportional to 607.86, 832.40 and 574.56

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Solution

The fourth proportional to 607.86, 832.40 and 574.56 is: 786.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.86 : 832.40 = 574.56 : x
  2. Step 2: Convert to fraction form
    607.86/832.40 = 574.56/x
  3. Step 3: Cross multiply
    607.86x = 832.40 × 574.56
  4. Step 4: Simplify right side
    607.86x = 478,260.87
  5. Step 5: Solve for x
    x = 478,260.87/607.86
  6. Step 6: Final answer
    x = 786.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.