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Finding the Fourth Proportional to 508.64, 705.11 and 480.92

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Solution

The fourth proportional to 508.64, 705.11 and 480.92 is: 666.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.64 : 705.11 = 480.92 : x
  2. Step 2: Convert to fraction form
    508.64/705.11 = 480.92/x
  3. Step 3: Cross multiply
    508.64x = 705.11 × 480.92
  4. Step 4: Simplify right side
    508.64x = 339,095.57
  5. Step 5: Solve for x
    x = 339,095.57/508.64
  6. Step 6: Final answer
    x = 666.68

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.