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Finding the Fourth Proportional to 523.30, 779.03 and 520.58

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Solution

The fourth proportional to 523.30, 779.03 and 520.58 is: 774.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.30 : 779.03 = 520.58 : x
  2. Step 2: Convert to fraction form
    523.30/779.03 = 520.58/x
  3. Step 3: Cross multiply
    523.30x = 779.03 × 520.58
  4. Step 4: Simplify right side
    523.30x = 405,547.44
  5. Step 5: Solve for x
    x = 405,547.44/523.30
  6. Step 6: Final answer
    x = 774.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.