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Finding the Fourth Proportional to 515.64, 711.32 and 349.80

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Solution

The fourth proportional to 515.64, 711.32 and 349.80 is: 482.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.64 : 711.32 = 349.80 : x
  2. Step 2: Convert to fraction form
    515.64/711.32 = 349.80/x
  3. Step 3: Cross multiply
    515.64x = 711.32 × 349.80
  4. Step 4: Simplify right side
    515.64x = 248,819.74
  5. Step 5: Solve for x
    x = 248,819.74/515.64
  6. Step 6: Final answer
    x = 482.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.