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Finding the Fourth Proportional to 515.84, 773.75 and 435.04

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Solution

The fourth proportional to 515.84, 773.75 and 435.04 is: 652.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.84 : 773.75 = 435.04 : x
  2. Step 2: Convert to fraction form
    515.84/773.75 = 435.04/x
  3. Step 3: Cross multiply
    515.84x = 773.75 × 435.04
  4. Step 4: Simplify right side
    515.84x = 336,611.35
  5. Step 5: Solve for x
    x = 336,611.35/515.84
  6. Step 6: Final answer
    x = 652.56

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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.