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Finding the Fourth Proportional to 519.23, 715.67 and 420.81

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Solution

The fourth proportional to 519.23, 715.67 and 420.81 is: 580.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.23 : 715.67 = 420.81 : x
  2. Step 2: Convert to fraction form
    519.23/715.67 = 420.81/x
  3. Step 3: Cross multiply
    519.23x = 715.67 × 420.81
  4. Step 4: Simplify right side
    519.23x = 301,162.14
  5. Step 5: Solve for x
    x = 301,162.14/519.23
  6. Step 6: Final answer
    x = 580.02

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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.