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Finding the Fourth Proportional to 509.54, 765.32 and 492.93

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Solution

The fourth proportional to 509.54, 765.32 and 492.93 is: 740.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.54 : 765.32 = 492.93 : x
  2. Step 2: Convert to fraction form
    509.54/765.32 = 492.93/x
  3. Step 3: Cross multiply
    509.54x = 765.32 × 492.93
  4. Step 4: Simplify right side
    509.54x = 377,246.72
  5. Step 5: Solve for x
    x = 377,246.72/509.54
  6. Step 6: Final answer
    x = 740.37

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Why These Related Problems?

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