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Finding the Fourth Proportional to 509.14, 763.17 and 346.06

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Solution

The fourth proportional to 509.14, 763.17 and 346.06 is: 518.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.14 : 763.17 = 346.06 : x
  2. Step 2: Convert to fraction form
    509.14/763.17 = 346.06/x
  3. Step 3: Cross multiply
    509.14x = 763.17 × 346.06
  4. Step 4: Simplify right side
    509.14x = 264,102.61
  5. Step 5: Solve for x
    x = 264,102.61/509.14
  6. Step 6: Final answer
    x = 518.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.