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Finding the Fourth Proportional to 519.15, 715.74 and 430.30

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Solution

The fourth proportional to 519.15, 715.74 and 430.30 is: 593.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.15 : 715.74 = 430.30 : x
  2. Step 2: Convert to fraction form
    519.15/715.74 = 430.30/x
  3. Step 3: Cross multiply
    519.15x = 715.74 × 430.30
  4. Step 4: Simplify right side
    519.15x = 307,982.92
  5. Step 5: Solve for x
    x = 307,982.92/519.15
  6. Step 6: Final answer
    x = 593.24

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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.