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Finding the Fourth Proportional to 520.14, 779.30 and 507.39

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Solution

The fourth proportional to 520.14, 779.30 and 507.39 is: 760.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.14 : 779.30 = 507.39 : x
  2. Step 2: Convert to fraction form
    520.14/779.30 = 507.39/x
  3. Step 3: Cross multiply
    520.14x = 779.30 × 507.39
  4. Step 4: Simplify right side
    520.14x = 395,409.03
  5. Step 5: Solve for x
    x = 395,409.03/520.14
  6. Step 6: Final answer
    x = 760.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.