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Finding the Fourth Proportional to 509.93, 703.95 and 344.24

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Solution

The fourth proportional to 509.93, 703.95 and 344.24 is: 475.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.93 : 703.95 = 344.24 : x
  2. Step 2: Convert to fraction form
    509.93/703.95 = 344.24/x
  3. Step 3: Cross multiply
    509.93x = 703.95 × 344.24
  4. Step 4: Simplify right side
    509.93x = 242,327.75
  5. Step 5: Solve for x
    x = 242,327.75/509.93
  6. Step 6: Final answer
    x = 475.22

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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.