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Finding the Fourth Proportional to 519.53, 716.26 and 430.68

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Solution

The fourth proportional to 519.53, 716.26 and 430.68 is: 593.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.53 : 716.26 = 430.68 : x
  2. Step 2: Convert to fraction form
    519.53/716.26 = 430.68/x
  3. Step 3: Cross multiply
    519.53x = 716.26 × 430.68
  4. Step 4: Simplify right side
    519.53x = 308,474.20
  5. Step 5: Solve for x
    x = 308,474.20/519.53
  6. Step 6: Final answer
    x = 593.76

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1.5x scale

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.