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Finding the Fourth Proportional to 515.65, 772.44 and 320.18

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Solution

The fourth proportional to 515.65, 772.44 and 320.18 is: 479.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.65 : 772.44 = 320.18 : x
  2. Step 2: Convert to fraction form
    515.65/772.44 = 320.18/x
  3. Step 3: Cross multiply
    515.65x = 772.44 × 320.18
  4. Step 4: Simplify right side
    515.65x = 247,319.84
  5. Step 5: Solve for x
    x = 247,319.84/515.65
  6. Step 6: Final answer
    x = 479.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.