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Finding the Fourth Proportional to 515.68, 770.66 and 419.60

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Solution

The fourth proportional to 515.68, 770.66 and 419.60 is: 627.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.68 : 770.66 = 419.60 : x
  2. Step 2: Convert to fraction form
    515.68/770.66 = 419.60/x
  3. Step 3: Cross multiply
    515.68x = 770.66 × 419.60
  4. Step 4: Simplify right side
    515.68x = 323,368.94
  5. Step 5: Solve for x
    x = 323,368.94/515.68
  6. Step 6: Final answer
    x = 627.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.