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Finding the Fourth Proportional to 520.17, 779.57 and 434.06

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Solution

The fourth proportional to 520.17, 779.57 and 434.06 is: 650.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.17 : 779.57 = 434.06 : x
  2. Step 2: Convert to fraction form
    520.17/779.57 = 434.06/x
  3. Step 3: Cross multiply
    520.17x = 779.57 × 434.06
  4. Step 4: Simplify right side
    520.17x = 338,381.08
  5. Step 5: Solve for x
    x = 338,381.08/520.17
  6. Step 6: Final answer
    x = 650.52

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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.