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Finding the Fourth Proportional to 520.44, 716.56 and 503.88

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Solution

The fourth proportional to 520.44, 716.56 and 503.88 is: 693.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.44 : 716.56 = 503.88 : x
  2. Step 2: Convert to fraction form
    520.44/716.56 = 503.88/x
  3. Step 3: Cross multiply
    520.44x = 716.56 × 503.88
  4. Step 4: Simplify right side
    520.44x = 361,060.25
  5. Step 5: Solve for x
    x = 361,060.25/520.44
  6. Step 6: Final answer
    x = 693.76

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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.