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Finding the Fourth Proportional to 509.91, 703.62 and 313.53

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Solution

The fourth proportional to 509.91, 703.62 and 313.53 is: 432.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.91 : 703.62 = 313.53 : x
  2. Step 2: Convert to fraction form
    509.91/703.62 = 313.53/x
  3. Step 3: Cross multiply
    509.91x = 703.62 × 313.53
  4. Step 4: Simplify right side
    509.91x = 220,605.98
  5. Step 5: Solve for x
    x = 220,605.98/509.91
  6. Step 6: Final answer
    x = 432.64

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