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Finding the Fourth Proportional to 509.94, 703.51 and 313.11

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Solution

The fourth proportional to 509.94, 703.51 and 313.11 is: 431.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.94 : 703.51 = 313.11 : x
  2. Step 2: Convert to fraction form
    509.94/703.51 = 313.11/x
  3. Step 3: Cross multiply
    509.94x = 703.51 × 313.11
  4. Step 4: Simplify right side
    509.94x = 220,276.02
  5. Step 5: Solve for x
    x = 220,276.02/509.94
  6. Step 6: Final answer
    x = 431.96

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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.