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Finding the Fourth Proportional to 509.90, 765.24 and 464.54

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Solution

The fourth proportional to 509.90, 765.24 and 464.54 is: 697.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.90 : 765.24 = 464.54 : x
  2. Step 2: Convert to fraction form
    509.90/765.24 = 464.54/x
  3. Step 3: Cross multiply
    509.90x = 765.24 × 464.54
  4. Step 4: Simplify right side
    509.90x = 355,484.59
  5. Step 5: Solve for x
    x = 355,484.59/509.90
  6. Step 6: Final answer
    x = 697.17

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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.