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Finding the Fourth Proportional to 498.23, 687.86 and 312

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Solution

The fourth proportional to 498.23, 687.86 and 312 is: 430.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.23 : 687.86 = 312 : x
  2. Step 2: Convert to fraction form
    498.23/687.86 = 312/x
  3. Step 3: Cross multiply
    498.23x = 687.86 × 312
  4. Step 4: Simplify right side
    498.23x = 214,612.32
  5. Step 5: Solve for x
    x = 214,612.32/498.23
  6. Step 6: Final answer
    x = 430.75

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