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Finding the Fourth Proportional to 509.99, 705.33 and 454.62

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Solution

The fourth proportional to 509.99, 705.33 and 454.62 is: 628.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.99 : 705.33 = 454.62 : x
  2. Step 2: Convert to fraction form
    509.99/705.33 = 454.62/x
  3. Step 3: Cross multiply
    509.99x = 705.33 × 454.62
  4. Step 4: Simplify right side
    509.99x = 320,657.12
  5. Step 5: Solve for x
    x = 320,657.12/509.99
  6. Step 6: Final answer
    x = 628.76

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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.