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Finding the Fourth Proportional to 520.65, 776.90 and 508.30

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Solution

The fourth proportional to 520.65, 776.90 and 508.30 is: 758.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.65 : 776.90 = 508.30 : x
  2. Step 2: Convert to fraction form
    520.65/776.90 = 508.30/x
  3. Step 3: Cross multiply
    520.65x = 776.90 × 508.30
  4. Step 4: Simplify right side
    520.65x = 394,897.60
  5. Step 5: Solve for x
    x = 394,897.60/520.65
  6. Step 6: Final answer
    x = 758.47

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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.