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Finding the Fourth Proportional to 515.60, 711.67 and 319

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Solution

The fourth proportional to 515.60, 711.67 and 319 is: 440.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.60 : 711.67 = 319 : x
  2. Step 2: Convert to fraction form
    515.60/711.67 = 319/x
  3. Step 3: Cross multiply
    515.60x = 711.67 × 319
  4. Step 4: Simplify right side
    515.60x = 227,021.14
  5. Step 5: Solve for x
    x = 227,021.14/515.60
  6. Step 6: Final answer
    x = 440.30

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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.