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Finding the Fourth Proportional to 515.80, 711.93 and 316.70

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Solution

The fourth proportional to 515.80, 711.93 and 316.70 is: 437.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.80 : 711.93 = 316.70 : x
  2. Step 2: Convert to fraction form
    515.80/711.93 = 316.70/x
  3. Step 3: Cross multiply
    515.80x = 711.93 × 316.70
  4. Step 4: Simplify right side
    515.80x = 225,465.86
  5. Step 5: Solve for x
    x = 225,465.86/515.80
  6. Step 6: Final answer
    x = 437.12

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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.