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Finding the Fourth Proportional to 515.67, 711.74 and 316.55

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Solution

The fourth proportional to 515.67, 711.74 and 316.55 is: 436.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.67 : 711.74 = 316.55 : x
  2. Step 2: Convert to fraction form
    515.67/711.74 = 316.55/x
  3. Step 3: Cross multiply
    515.67x = 711.74 × 316.55
  4. Step 4: Simplify right side
    515.67x = 225,301.30
  5. Step 5: Solve for x
    x = 225,301.30/515.67
  6. Step 6: Final answer
    x = 436.91

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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.