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Finding the Fourth Proportional to 508.51, 701.22 and 456.85

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Solution

The fourth proportional to 508.51, 701.22 and 456.85 is: 629.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.51 : 701.22 = 456.85 : x
  2. Step 2: Convert to fraction form
    508.51/701.22 = 456.85/x
  3. Step 3: Cross multiply
    508.51x = 701.22 × 456.85
  4. Step 4: Simplify right side
    508.51x = 320,352.36
  5. Step 5: Solve for x
    x = 320,352.36/508.51
  6. Step 6: Final answer
    x = 629.98

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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.