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Finding the Fourth Proportional to 509.47, 703.13 and 310.34

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Solution

The fourth proportional to 509.47, 703.13 and 310.34 is: 428.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.47 : 703.13 = 310.34 : x
  2. Step 2: Convert to fraction form
    509.47/703.13 = 310.34/x
  3. Step 3: Cross multiply
    509.47x = 703.13 × 310.34
  4. Step 4: Simplify right side
    509.47x = 218,204.30
  5. Step 5: Solve for x
    x = 218,204.30/509.47
  6. Step 6: Final answer
    x = 428.30

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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.