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Finding the Fourth Proportional to 805.79, 1,112.01 and 456.47

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Solution

The fourth proportional to 805.79, 1,112.01 and 456.47 is: 629.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.79 : 1,112.01 = 456.47 : x
  2. Step 2: Convert to fraction form
    805.79/1,112.01 = 456.47/x
  3. Step 3: Cross multiply
    805.79x = 1,112.01 × 456.47
  4. Step 4: Simplify right side
    805.79x = 507,596.92
  5. Step 5: Solve for x
    x = 507,596.92/805.79
  6. Step 6: Final answer
    x = 629.94

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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.