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Finding the Fourth Proportional to 456.87, 687.83 and 313.53

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Solution

The fourth proportional to 456.87, 687.83 and 313.53 is: 472.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.87 : 687.83 = 313.53 : x
  2. Step 2: Convert to fraction form
    456.87/687.83 = 313.53/x
  3. Step 3: Cross multiply
    456.87x = 687.83 × 313.53
  4. Step 4: Simplify right side
    456.87x = 215,656.12
  5. Step 5: Solve for x
    x = 215,656.12/456.87
  6. Step 6: Final answer
    x = 472.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.