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Finding the Fourth Proportional to 768.84, 1,061.01 and 419.53

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Solution

The fourth proportional to 768.84, 1,061.01 and 419.53 is: 578.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.84 : 1,061.01 = 419.53 : x
  2. Step 2: Convert to fraction form
    768.84/1,061.01 = 419.53/x
  3. Step 3: Cross multiply
    768.84x = 1,061.01 × 419.53
  4. Step 4: Simplify right side
    768.84x = 445,120.22
  5. Step 5: Solve for x
    x = 445,120.22/768.84
  6. Step 6: Final answer
    x = 578.95

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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.